# Geometric Sequences

### Topic Page

Geometric Sequences### Questions

- What is meant by a geometric sequence?
- What are common mistakes students make with geometric sequences?
- How do I find the equation of a geometric sequence?
- How do I find the first term of a geometric sequence?
- How do I find the common ratio of a geometric sequence?
- How can I recognize a geometric sequence?
- How do I use a geometric series to prove that #0.999...=1#?
- What is the common ratio of the geometric sequence 7, 28, 112,...?
- What is the common ratio of the geometric sequence 1, 4, 16, 64,...?
- What is the common ratio of the geometric sequence 2, 6, 18, 54,...?
- How do I find the 6th term of the geometric sequence for which #t_3 = 444# and #t_7 = 7104#?
- How do I find the 7th term of a geometric sequence for which #t_1 = 6# and #r = 4#?
- How do I find the sixth term of a geometric sequence for which #t_5 = 24# and #t_8 = 3#?
- What is the 10th term of the geometric sequence 3, 9, 27,...?
- What is the 6th term of the geometric sequence 4, 20, 100,...?
- What is the 7th term of the geometric sequence 3, 9, 27,...?
- What is the 8th term of the geometric sequence 3, 9, 27,...?
- What is the 7th term of the geometric sequence 4, 20, 100,...?
- What is the 8th term of the geometric sequence 4, 20, 100,...?
- What is the 9th term of the geometric sequence 3, 9, 27,...?
- A geometric sequence is defined recursively by an = 4an-1. The 10th term of the sequence is a10 = 3.5. What is a13?
- How do you use the geometric sequence of numbers 1, 2, 4, 8,…to find r, the ratio between 2 consecutive terms?
- How do you use the geometric sequence of numbers 1, 2, 4, 8,…to find the 24th term?
- Is the sequence 3, 12, 36, ... a geometric sequence?
- Is the sequence -24, 12, 6 a geometric sequence?
- Is the sequence -24,23,-22 a geometric sequence?
- Is the sequence -24, -12, 0 a geometric sequence?
- Is the sequence 24, 12, 6 a geometric sequence?
- If a number is multiplied by each term of an arithmetic sequence, is the resulting sequence still arithmetic of is it geometric?
- If an arithmetic sequence is added to a geometric sequence, term by term, is the resulting sequence arithmetic or geometric?
- What is the 6th term of this geometric sequence 3, –9, 27, –81, …?
- What is the 6th term of this geometric sequence 1, 7, 49, 343, …?
- What is the 10th term of this geometric sequence 1, 2, 4, 8, …?
- What is the 7th term of this geometric sequence 2, 6, 18, 54, …?
- The first term of a geometric sequence is 3 and the multiplier, or ratio, is 5. What is the sum of the first 4 terms of the sequence?
- What is the 15th term of the geometric sequence 52, 39, 29.25 …?
- What is the 12th term of a geometric sequence where #a_1 = 8# and #a_6 = -8,192#?
- What is the sum of the geometric sequence -1, 6, -36, ... if there are 7 terms?
- What is the sum of a 7-term geometric series if the first term is 6, the last term is 24,576, and the common ratio is -4?
- What is the 7th term of the geometric sequence where a1 = -625 and a2 = 125?
- What is the 9th term of the geometric sequence where a1 = -8 and a6 = -8,192?
- What is the 32nd term of the arithmetic sequence where a1 = 14 and a13 = -58?
- What is the 32nd term of the arithmetic sequence where a1 = -33 and a9 = -121?
- What is the sum of the first 6 terms of this geometric sequence –4, –16, –64, –256?
- The first term of a geometric sequence is 4 and the multiplier, or ratio, is –2. What is the sum of the first 5 terms of the sequence?
- What is the sum of the first 10 terms of this geometric sequence 3, –6, 12, –24, …?
- How do you find the explicit formula and calculate term 20 for 3, 9 , 27, 81, 243?
- Question #11699
- If the first term in a geometric sequence is 7, and the third term is 63, what is the ninth term?
- The first term in a certain geometric sequence is x and the fourth term in the sequence is 27x, where x is a nonzero number. Which of the following represents the tenth term?
- Is the following a geometric sequence 1, 5, -25, 125,…?
- Is the following a geometric sequence 1.5, 2.25, 3.375, 5.0625,…?
- What are the next three terms of the sequence 1, -3, 9, -27,…?
- How do you find two geometric means between 5 and 135?
- How do you find two geometric means between 4 and 64?
- Is the following a geometric sequence 3, 9, 27, 81,…?
- What is the r value of the following geometric sequence 2, 6, 18, 54,…?
- Is the following a geometric sequence 1, -2, 4, -8, 16,…?
- How do you identify the 15th term of the geometric sequence 52, 39, 29.25 …?
- How do you identify the 8th term of the geometric sequence -2, -12, -72 ...?
- How do you identify 19th term of a geometric sequence where a1 = 14 and a9 = 358.80?
- How do you find the 8th term in this geometric sequence 8, 4, 2, 1, ...?
- How do you find the 10th term in the geometric sequence 25, 5, 1, 0.2, ...?
- What is the common ratio in this geometric sequence 3, 3/2, 3/4, 3/8, 3/16?
- What is the common ratio in this geometric sequence 3, 18, 108, 648, 3888, ...?
- How do you use the geometric sequence of numbers 1, 2, 4, 8,…to find r, the ratio between 2 consecutive terms?
- The third term of a geometric sequence is 3 and the sixth term is 64/9. How do you find the fifth term of this sequence?
- The first term of geometric sequence is 8, and the second term is 4. How do you find the fifth term?
- The common ratio in a geometric sequence is 3/2, and the fifth term is 1. How do you find the first three terms?
- Which term of the geometric sequence 2,6,18 is 118,098?
- The second and the fifth terms of a geometric sequence are 10 and 1250, respectively. Is 31,250 a term of this sequence? If so, which term is it?
- A person has two parents, four grandparents, eight great-grandparents, and so on. How many ancestors does a person have 15 generations back?
- How do you find the common ratio, r, for the geometric sequence that has a1 =100 and a8 = ?
- What is the sum of the geometric sequence -4,24,-144,... if there are 8 terms?
- How do you find the 5th term of the sequence in which #t_1 = 8# and #t_n = -3t_n-1#?
- How do you find the Nth term in the geometric sequence where the first term is 3 and the fourth term is #6sqrt2#?
- If a town having a population 5000 in 1971 has a 20 percent increase every 5 years, what is its expected population in the year 2001?
- What is the 7th term of the geometric sequence where a1 = –4 and a5 = –1,024?
- What is the 41st term of the arithmetic sequence where a1 = 17 and a15 = –39 ?
- Is 0,0,0,... a geometric sequence?
- How do you find the number of terms in the following geometric sequence: -409.6, 102.4, -25.6,..., 0.025?
- What is the 9th term of the geometric sequence where a1 = -7 and a6 = -7,168?
- The second term of a geometric sequence is 6 and the fifth term is -48. How do you find the tenth term of the sequence?
- In a geometric sequence #t_3 = 45# #t_6=1215#, how do you find the first term?
- For a geometric sequence, #t_7=5x+2# and #t_10=x - 23#. If the common ratio is 2, how do you find the value of t10?
- How do you find the value of a if the infinite geometric series #a+ a^2 + 2^3 + ...... =4a#, a cannot equal to 0?
- For what values of x will the infinite geometric series 1+ (2x-1) + (2x-1)^2 + (2x-1)^3 + ... have a finite sum?
- How do you find the 13th term of the geometric sequence with a3 = 24 and a5 = 96?
- How do you find the first 3 terms of the geometric sequence with a5 = -192 a9 = 1,536?
- How do you find the next three terms in the geometric sequence 9, -3, 1, , ... ?
- How do you find the next three terms in the geometric sequence 4, -2, 1, -, ... ?
- How do you find the next three terms in the geometric sequence -16, 4, , , ... ?
- The first term of a geometric sequence is 320, and the common ratio is 0.5. What is the 5th term of the sequence?
- The first term of a geometric sequence is 4096, and the common ratio is 0.5. What is the 10th term of the sequence?
- The first term of a geometric sequence is 160, and the common ratio is 0.5. What is the 5th term of the sequence?
- The first term of a geometric sequence is 40, and the common ratio is 0.5. What is the 5th term of the sequence?
- A computer is worth $2400 when it is new. After each year it is worth half what it was the previous year. What will its worth be after 4 years?
- A computer is worth $3200 when it is new. After each year it is worth half what it was the previous year. What will its worth be after 3 years?
- A computer is worth $2000 when it is new. After each year it is worth half what it was the previous year. What will its worth be after 5 years?
- The value of a gold coin picturing the head of the Roman Emperor Domitian is increasing at the rate of 6% per year. If the coin is worth $135 now, what will it be worth in 12 years?
- A radioactive isotope has a half-life of 9 hours. How do you find the amount of the isotope left from a 80-milligram sample after 54 hours?
- The geometric sequence 20, 60, 180, 540,.........., 393 660 has how many terms?
- There are 800 students in a certain highschool in 2001. the trend during the previous years shows a yearly increase of 20% in enrollment. What will the enrollment be in 16 years?
- What is the common ratio of the geometric sequence: 128, -16, 2, -1/4, …?
- What is the 8th term of the geometric sequence where a1 = 625 and a3 = 25?
- What is the 11th term of the geometric sequence –1, 3, –9, …?
- How do you find the first five terms in the geometric sequence which is such that the sum of the 1st and 3rd terms is 50, and the sum of the 2nd and 4th terms is 150?
- How do you write the first five terms of the geometric sequence #a_n = 5a_(n-1)#; #a_1 = 3#?
- How do you find #a_9# when #a_1 = 1000, r = 1/3?#
- How do you write a formula for the general term (the nth term) of the geometric sequence 4, 12, 36, 108, 324, . . .?
- How do you find a6 when a1 = 7, r = 2?
- How do you find the common ratio for the following geometric sequence 4, 12, 36, 108... ?
- What is the 7th term of the geometric sequence 4, –20, 100, …?
- What is the 32nd term of the arithmetic sequence where #a_1 = 15# and #a_13= –57#?
- What is the 32nd term of the arithmetic sequence where a1 = –32 and a9 = –120?
- What is the 8th term of the geometric sequence where a1 = 256 and a3 = 16?
- How do you find the 7th term of the geometric sequence with the given terms a4 = 54, a5 = 162?
- How do you find the 7th term of the geometric sequence with the given terms a4 = -4, a6 = -100?
- How do you find the 7th term of the geometric sequence with the given terms #a_2 = 12, a_5 = -768#?
- What is the common ratio in this geometric sequence 4, 16, 64, 256, 1024, ...?
- How do you find the 6th term in the geometric sequence 25, 75, 225, 675, ...?
- How do you find the 7th term in the geometric sequence 2, 6, 18, 54, ...?
- How do you find the 9th term in the geometric sequence 4.5, 9, 18, 36, ...?
- How do you find the 10th term in the geometric sequence 320, 160, 80, 40, ...?
- The first term of a geometric sequence is 5, and the third term is 16/5. How do you find the fifth term?
- The first 31st term of a geometric sequence is 123 and the 32nd term is 1107. What is the 33rd term?
- How do you find r and a1 for the geometric sequence: a3 = 5, a8 = 1/625?
- Is 3, 6, 9, 12 ,15, 18 a geometric sequence?
- Is 5, 10, 20, 40, 80, 160 a geometric sequence?
- Is 10, 5, 2.5, 1.25, 0.625, 0.3125 a geometric sequence?
- Is 1, 3, 9, 27, 81 a geometric sequence?
- How do you find the missing terms of the geometric sequence: 3,---,---,---,768?
- Is -12, -5, 2, and 9 a geometric sequence?
- Is 108, -36, 12, and -4 a geometric sequence?
- What is the eighth term of the geometric sequence whose first three terms are 3, 6 and 12?
- The lengths of the sides in a right triangle form 3 consecutive terms of a geometric sequence. How do you find the common ratio of the sequence?
- Three integers are in the ratio 2:3:8. If 4 is added to the middle number, the resulting number is the second term of a geometric progression of which the other two integers are the first and third terms. How do you find the three integers?
- Which term of the sequence { 16/9, 4/3, 1, 3/4 ... } is 243/1024?
- How do you find the fifth term in a geometric sequence in which the fourth term is 5, the sixth term is 7, and the common ratio is negative?
- What is the 6th term of the geometric sequence where a1 = –4,096 and a4 = 64?
- What is the 10th term of the geometric sequence 3, 12, 48, …?
- The second and the fifth terms of a geometric sequence are 15 and 405, respectively. Is 32,805 a term of this sequence?
- A geometric sequence has first term 54 and 4th term 2. What is the common ratio?
- Is this a geometric sequence 8,4,2,1,1/2,1/4?
- What is the 7th term of the geometric sequence where a1 = -2 and a5 = -512?
- What is the 7th term of the geometric sequence where a1 = 1,024 and a4 = -16?
- The first term of a geometric sequence is 3 and the common ratio is 2. What is the 6th term?
- How do you use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term?
- How do you write a formula for the general term (the nth term) of the geometric sequence 4,4/3,4/27,4/81...?
- The fifth term of a geometric sequence is 48 and the ninth term is 768. What is the first term?
- How do you find the first term of a geometric sequence whose fourth term is -6 and whose common ratio is 1/3?
- If the third term of a geometric sequence is 36 and the eighth term is 8748, how do you find the first term?
- How do you find the next three terms of the sequence 2,10,50,250,1250,...?
- How do you find the next three terms of the sequence 375,75,15,3,0.6,...?
- How do you find the next three terms of the sequence 1.8,3.6,7.2,14.4,28.8,...?
- In a geometric sequence, #a_3=-9# and #a_6=243#, find the value of #a_10#?
- How do you use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 6 and the 8th term is 216?
- How do you find the first four terms of the geometric sequence for which a1=4 and r=3?
- The sum of the first and third term is 40, while the addition of the second and fourth term is 96. How do you find the sixth term of the sequence?
- What is the 9th term of the geometric sequence –1, 3, –9, …?
- How do you find two geometric means between 3 and 375?
- How do you find A1 in a geometric sequence if A3=-8 and A6=1?
- For what positive value of p will this be a geometric sequence: p-3, p+1, 3p+3?
- One-third of an air tank is removed with each stroke of a vacuum pump. What part of the original amount of air remains after 5 strikes?
- What is the 8th term of the geometric sequence –1, 4, –16, …?
- How do you find the common ratio for 1.512, 7.56, 37.8, 189, 945, ...?
- How do you write the first five terms of the geometric sequence with the first term a1 and common ratio r a1=5 , r = -1/2?
- How do you find the next two terms in 0, 3, 8, 15, 24?
- The sum of the first and third terms of a geometric sequence is 40 while the sum of its second and fourth terms is 96. How do you find the sixth term of the sequence?
- How do you find the 10th term in the geometric sequence -2,6,-18,...?
- What is the next number in this geometric sequence -3.24, 9.72, -29.16, 87.48?
- How do you find the sum of a geometric sequence whose first term is -160, whose last (nth) term is 5, and whose common ratio is -1/2?
- What is the tenth term of the geometric sequence with a4 = 16 and r = 2?
- Whats the missing term in the sequence 26. 16, __, 4?
- Whats the missing term in the geometric sequence 25, __, 225?
- Whats the missing term in the geometric sequence 2, __, 50?
- Whats the missing term in the geometric sequence 1, __, 49?
- Whats the missing term in the geometric sequence 3/4, __, 3?
- Whats the missing term in the geometric sequence 36, __, 4?
- What is the common ratio of the following geometric sequence 5, 15, 45,…?
- How do you find k such that k+1, 4k, 3k+5 is a geometric sequence?
- If a[1]=4 and r=2, what are the first four terms of the geometric sequence?
- What's the common ratio in 5/12, 1/3, 4/15, 16/75, 64/375?
- The sum of the first four terms of a geometric series is 130 and its common ratio is 1.5. What is the first term in the series?
- How do you find the missing terms in the geometric sequence 32, __, 72, __, 162?
- How do you write a sequence that has three geometric means between 256 and 81?
- What is the missing number in the pattern #1, 3, 9,# __ #, 81#?
- How do you find general term formula for {-1/4, 2/9, -3/16, 4/25, ...}?
- What is the common ratio if the first two terms of a geometric series are 1/3 + 1/9 + ...?
- What is the sum of this infinite geometric series 2 + 1 + 1/2 + 1/4 + 1/8...?
- How do you determine if the sequence is arithmetic, geometric, or neither: 96, 48, 24, 12, 6, 3, 1.5, .75?
- How do you find the geometric mean for the pair of numbers: 1/12 , 1/18?
- How do you find the explicit formula for: 1, 2, 4, 8...?
- How do you find a1 given an = 24, r = 2/3, n = 4?
- How do you find a formula of the nth term for this sequence: 1, 3, 9, 27, 81, …?
- How do you find a formula of the nth term for this sequence: 8/9,1,9/8,81/64?
- How do you find a formula of the nth term if the 4th term in the geometric sequence is -192 and the 9th term is 196608?
- What is the recursive formula for this sequence: 100,160, 226, 298.6,.. ?
- What is the sum of the first 10 terms given 1, 1/3, 1/9,1/27..?
- How do you find the 10th term in the geometric sequence 2,6,18,54,162,...?
- How do you write the explicit formula for the following geometric sequence: -0.1, 0.03, -0.009, 0.0027, -0.00081, ...?
- Given the two terms in a geometric sequence how do you find the recursive formula... a1=-4 and a4=-500?
- How do you write an explicit formula for this sequence: 3, 6, 12, 24?
- How do you write an explicit formula for this sequence: 2, -1, 1/2, -1/4, 1/8?
- How do you find the eighth term of a geometric sequence in which A1= -7 and r= -2?
- Three numbers form an arithmetic sequence having a common difference of 4. If the first number is increased by 2, the second number by 3, and the 3rd number by 5, the resulting numbers form a geometric sequence. How do you find the original numbers?
- Using the geometric sequence of numbers 1, 3, 9, 27, … what is r, the ratio between 2 consecutive terms?
- Is the sequence geometric 2, 6, 18, 54,...?
- What is the common ratio of this geometric sequence 1.1, 4.4, 17.6, 70.4,...?
- Is the sequence geometric 48, 46, 44, 42, ...?
- This sequence is geometric, what is the next term 500, 250, 125, 62.5,...?
- How do you write the formula for the nth term given 1.2, 2.4, 4.8, 9.6,...?
- How do you write the formula for the nth term given 8, -16, 32, -64,...?
- How do you write the formula for the nth term given 900, 300, 100, 33 1/3,...?
- The formula for a geometric sequence is #an = 2(4)^(n-1)# what is the 3rd term of the sequence?
- The formula for a geometric sequence is #an = 1000(0.5)^(n-1)# what is the 3rd term of the sequence?
- Consider the sequence -2, -4, -8, -16,... how do you find the 8th term of the sequence?
- How do you find the Geometric formula for this sequence 1/3,1/9,1/27,1/81?
- How do you find sum of geometric series 2+6+18+...+1458?
- How do you find sum of geometric series 5+20+80+...+ 20480?
- How do you write an equation for the nth term of geometric sequence -6561, 1458, -324?
- A geometric sequence is defined recursively by #a_n = 15a_(n-1)#, the first term of the sequence is 0.0001, how do you find the explicit formula for the nth term of the sequence?
- The recursive sequence is defined by the formula #t_n=2t_(n-1)+3#; and #t_1=-2#, how do you find #t_6#?
- A geometric sequence is defined recursively by #a_n = 6a_(n -1)#. The first term of the sequence is 0.75. Which of the following is the explicit formula for the nth term of the sequence?
- The sum of 40 numbers in an arithmetic sequence is 8000. If the first number is the sequence is 83, what is the last number?
- If r = 3 and the sum of 6 terms of the geometric series is 3640, what is the first term?
- How do you find the sum of the first 30 positive multiples of 3?
- How do you find the sum of the first 12 terms of 4 + 12 + 36 + 108 + ?
- A geometric sequence is defined by the explicit formula #a_n = 5(-3)_(n-1)#, what is the recursive formula for the nth term of this sequence?
- What is the fifteenth term of the sequence 5,-10,20,-40,80?
- How do you find a formula for the nth term of the geometric sequence: 500, 100, 20, 4, ...?
- What would the formula for the nth term be given -2, 6, -18, 54...?
- What would the formula for the nth term be given 0.3, -0.06, 0.012, -0.0024, 0.00048, ...?
- How do you find the sum of the geometric sequence 2,4,8...if there are 20 terms?
- What is the sum of the arithmetic sequence 9,14,19... if there are 34 terms?
- How do you find the common ratio, r, for the geometric sequence that has a1 =100 and a8 =50?
- The formula for the sum of the first n terms of a geometric sequences #S_n=5^(n-1)# how do you find the first four terms of the sequence?
- How do you find the nth term for the geometric sequence a1 = -9, n=6, r=2?
- What is the explicit formula for the sequence: 8, -20, 50, -125?
- A geometric sequence is defined recursively by #a_n = 5a_(n-1)#, the first term of the sequence is 0.45. What is the explicit formula for the nth?
- How do you write an explicit formula for the sequence 40, 20, 10, 5, 2.5...?
- How do you write a recursive formula for the sequence 1, 2, 3/2, 4/6, 5/24...?
- How do you write a rule for the nth term of the geometric sequence, then find a6 given 5, -5/3, 5/9, -5/27, ...?
- How do you write a rule for the nth term of the geometric sequence, then find a6 given 2, 14, 98, 686,...?
- How do you write a rule for the nth term of the geometric sequence, then find a6 given 2, 4/3, 8/9, 16/27,...?
- How do you find the 4th, 5th, 6th, and 7th term of the geometric sequence 7, 21, 63...?
- How do you find a formula for the nth term of the geometric sequence: 8, 12, 18, 27, ...?
- What is the missing term in the geometric sequence 6, 24, ?, 384, 1536,… ?
- How do you write the explicit formula for the sequence 2,8,32,128,...?
- How do you write the explicit formula for the sequence 0.5,-0.1,0.02,-0.004...?
- How do you write the explicit formula for the sequence 4,8,16,32,64...?
- How do you write the explicit formula for the sequence 1, 1/3, 1/9 , 1/27…?
- How do you write the explicit formula for the sequence -1, 0.1, -0.01, 0.001,...?
- How do you find the common ratio of the geometric sequence -3, 6, -12, 24, . . .?
- Given a geometric sequence A1=6, r=-5, how do you find the 5th term?
- How do you find the sum of a geometric series for which a1 = 48, an = 3, and r = -1/2?
- How do you find these missing terms [2,6,18,__,__,486,...]?
- How do you find these missing terms [__,8,__,128,....]?
- What is the nth term of the geometric sequence 2,10,50,250?
- What is the #n^"th"# term of the geometric sequence #360,180,90,45#?
- What is the nth term of the geometric sequence 5,15,45,135?
- What is the nth term of the arithmetic sequence 5,12,19,16?
- What is the nth term of the arithmetic sequence 121,99,77,55?
- What is the nth term of the arithmetic sequence 1,9,17,25?
- The 15th term of an arithmetic series is 52, and the sum of the first 15 terms is 405 how do you find the sum of the first 22 terms?
- For a geometric sequence, t8 = 60 and t6 = 72, how do you find t10?
- The first term of a geometric sequence is 2 and the common ratio is 4. How do you find the 6th term?
- How do you find the explicit formula for a geometric sequence 9,19, 39,79,159,...?
- Given 3, 6, 12, 24,..., which term number is 384?
- Given 5, 11, 17, 23,..., which term number is 485?
- How do you write the explicit formula that represents the geometric sequence -2, 8, -32, 128?
- A community has a population of 25000 which increases by 15% every year. What will be the population of the community after 6 years?
- A certain bacterial culture doubles in number every hour. If 1 bacterium is placed in a glass beaker at 8 A.M., how many will be there at 12 midnight?
- How do you find the nth term rule for 1,2,4,8,16,32,64?
- How do you find the nth term rule for 10,15, 22.5, 33.75, 50.63?
- How do you find the nth term rule for 1,4,16,64?
- For the sequence -3, -12, -48, … how do you find the sum of the first 12 terms?
- A woman made $35,000 during the first year of her new job at city hall. Each year she received a 10% raise. How do you find her total earnings during the first eight years on the job?
- How do you find the number of terms in the following geometric series: 1 + 2 + 4 + ... + 67108864?
- How do you find the number of terms in the following geometric series: 4 + 3 + 2.25 + 0.02255?
- How do you find the number of terms in the following geometric series: 100 + 99 + 98.01 + ... + 36.97?
- What is the nth term of 1,2,4,8,16,32?
- A geometric sequence is defined by the explicit formula #a_n = 3(-5)^(n-1)#, what is the recursive formula for the nth term of this sequence?
- How do you find a general formula for each arithmetic sequence given 8th term is -20; 17th term is -47?
- How do you find the 5th term of a geometric sequence whose first term is 4 and whose common ratio is -2?
- How do you find the sum of the infinite geometric series, a(1)= -5, r= 1/6?
- The 5th term of a geometric sequence is 45 and the 8th term is 360. How do you determine the 20th term?
- How do you find the sum of the first 10 terms of the following geometric sequence 5, 10, 20, 40, 80, …….?
- The first two terms of a geometric sequence are a1 = 1⁄3 and a2 = 1⁄6. What is a8, the eighth term?
- How do you find missing values in a matrix?
- Sara agrees to buy a car for a down payment of $3000 and payments of $315 per month for 4 years. If the interest rate is 4.25% per year, compounded monthly, what is the actual purchase price of the car?
- Grandfather is #15# time the age of his grandson today, in #10# years the grandson will be #3/17# the age of the grandfather. How old are the grandfather and grandson?
- A geometric sequence is defined recursively by #a_n= 4a_(n-1)#, and the first term of the sequence is 0.5, how do you find the explicit formula?
- Mary baked a number of cookies. She ate one, gave half of the remaining cookies to her sister, ate another one, then gave half of the remaining cookies to her brother. Given that she ended up with #5# cookies, how many did she start with?
- Question #46f4b
- What is the value of the fourth term in a geometric sequence for which #a_1# = 15 and r = 1/3?
- A sequence is defined by the recursive function #f(n+1) = f(n) - 2 #. If # f(1) = 10# , what is # f(3 #)?
- How do you find the common ratio for #1,6,36,216,1296,...#?
- How do you find the common ratio for #2,-6,18,-54,162,...#?
- How do you find the common ratio for #7,14,28,56,128,...#?
- How do you find the common ratio for #64,-32,16,-8,4,...#?
- How do you find the common ratio for #10,5,5/2,5/4,5/8,...#?
- How do you find nth term rule for #1,3,9,27,...#?
- How do you find nth term rule for #2,8,32,128,...#?
- How do you find nth term rule for #1,-6,36,-216,...#?
- How do you find nth term rule for #375,-75,15,-3,....#?
- How do you find nth term rule for #1/2,1/4,1/8,1/16,...#?
- How do you find nth term rule for #-28,14,-7,7/2,-7/4,...#?
- How do you find nth term rule for r=3 and #a_1=2#?
- How do you find nth term rule for r=-2 and #a_1=6#?
- How do you find nth term rule for #a_1=1/4# and #a_3=6#?
- How do you find nth term rule for #a_2=5# and #a_4=1/5#?
- How do you find nth term rule for #a_2=28# and #a_5=-1792#?
- How do you find the common ratio of #1,4,16,64,...#?
- How do you find the common ratio of #3,6,12,24,...#?
- How do you find the common ratio of #-3,6,-12,24,...#?
- How do you find the common ratio of #5,20,320,2560,...#?
- How do you find the common ratio of #136,68,34,17,...#?
- How do you find the common ratio of #-1/4,1/8,-1/16,1/32,...#?
- How do you write an nth term rule for #1,-4,16,-64# and find #a_6#?
- How do you write an nth term rule for #5,10,20,40,...# and find #a_6#?
- How do you write an nth term rule for #-3,6,-12,24,...# and find #a_6#?
- How do you write an nth term rule for #6,-30,150,-750,...# and find #a_6#?
- How do you write an nth term rule for #5,-5/3,5/9,-5/27,...# and find #a_6#?
- How do you write an nth term rule for #r=3# and #a_1=4#?
- How do you write an nth term rule for #r=1/3# and #a_1=45#?
- How do you write an nth term rule for #r=6# and #a_3=72#?
- How do you write an nth term rule for #r=1/8# and #a_1=4#?
- How do you write an nth term rule for #r=8# and #a_1=-2#?
- How do you write an nth term rule for #a_1=-1/2# and #a_4=-16#?
- How do you write an nth term rule for #a_3=10# and #a_6=300#?
- How do you write an nth term rule for #a_2=-20# and #a_4=-5#?
- How do you write an nth term rule for #a_2=-30# and #a_5=3750#?
- How do you graph #a_n=2(3)^(n-1)#?
- How do you graph #a_n=8(3)^(n-1)#?
- How do you graph #a_n=5(1/2)^(n-1)#?
- How do you find the nth term rule for #2,10,50,250,...#?
- How do you find the nth term rule for #-3,12,-48,192,...#?
- How do you find the nth term rule for #12,4,4/3,4/9,...#?
- How do you find #3# geometric means between #3# and #1488# ?
- The sum of the first two terms of a geometric sequence is #8/9# and of the first three terms is #26/27#. What is the first term, common ratio and sum to infinity ?
- Under what circumstances does the infinite series #1+(2x/3)+(2x/3)^2+(2x/3)^3+...# converge and what is the sum when #x=1.2# ?
- What is the convergence radius for the series #sum_(r=0)^oo((x+1)/3)^r# ?
- Question #88190
- Question #90e7d
- How do you know if the sequence #1, -2, 4, -8, ...# is arithmetic or geometric?
- How do you know if the sequence #1, -2, -5, -8,...# is arithmetic or geometric?
- How do you write a geometric sequence with a common ratio of 2/3?
- How do you find the next two terms of the geometric sequence #20, 30, 45,...#?
- How do you find the next two terms of the geometric sequence #-1/4, 1/2, -1, ...#?
- How do you find the first five terms of the geometric sequence for which #a_1=-2# and r=3?
- How do you find #a_9# for the geometric sequence #60, 30, 15, ...#?
- How do you find the indicated term for the geometric sequence #a_1=7#, r=2, n=4?
- How do you find the indicated term for the geometric sequence #a_3=32#, r=-0.5, n=6?
- How do you write an equation for the nth term of the geometric sequence #4, 8, 16, ...#?
- How do you find the geometric mean between 1 and 27?
- How do you find the missing term in the geometric sequence #9/4, 3/4, 1/4, 1/12, __#?
- How do you find the next two terms of the geometric sequence #405, 135, 45,...#?
- How do you find the next two terms of the geometric sequence #81, 108, 144,...#?
- How do you find the next two terms of the geometric sequence #16, 24, 36, ...#?
- How do you find the next two terms of the geometric sequence #162, 108, 72, ...#?
- How do you find the next two terms of the geometric sequence #5/2, 5/3, 10/9, ...#?
- How do you find the next two terms of the geometric sequence #1/3, 5/6, 25/12,...#?
- How do you find the next two terms of the geometric sequence #1.25, -1.5, 1.8,...#?
- How do you find the next two terms of the geometric sequence #1.4, -3.5, 8.75,...#?
- How do you find the first five terms of the geometric sequence #a_1=2# r=-3?
- How do you find the first five terms of the geometric sequence #a_1=1# and r=4?
- How do you find the first five terms of the geometric sequence #a_1=243#, r=1/3?
- How do you find the first five terms of the geometric sequence #a_1=576#, r=-1/2?
- How do you find #a_7# if #a_n=12(1/2)^(n-1)#?
- If #a_n=1/3*6^(n-1)#, what is #a_6#?
- How do you find the indicated term of the geometric sequence where #a_1=1/3#, r=3, n=8?
- How do you find the indicated term of the geometric sequence where #a_1=1/64#, r=4, n=9?
- How do you find the indicated term of the geometric sequence where #a_1=16,807#, r=3/7, n=6?
- How do you find the indicated term of the geometric sequence where #a_1=4096#, r=1/4, n=8?
- How do you find the indicated term of the geometric sequence where #a_4=16#, r=0.5, n=8?
- How do you find the indicated term of the geometric sequence where #a_6=3#, r=2, n=12?
- How do you find #a_9# for the geometric sequence #1/5, 1, 5,...#?
- How do you find #a_7# for the geometric sequence #1/32, 1/16, 1/8,...#?
- How do you find #a_8# for the geometric sequence #4, -12, 36,...#?
- How do you find #a_6# for the geometric sequence #540, 90, 15,...#?
- A one-ton ice sculpture is melting so that is loses one-fifth of its weight per hour. How much of the sculpture will be left after five hours?
- How do you write an equation for the nth term of the geometric sequence #36,12,4...#?
- How do you write an equation for the nth term of the geometric sequence #64,16,4,....#?
- How do you write an equation for the nth term of the geometric sequence #-2,10,-50,...#?
- How do you write an equation for the nth term of the geometric sequence #4,-12,36,...#?
- How do you find the geometric means in the sequence #9,__ ,__ ,__,144#?
- How do you find the geometric means in the sequence #4, __, __, __, 324#?
- How do you find the geometric means in the sequence #32, __, __, __, __, 1#?
- How do you find the geometric means in the sequence #3, __, __, __, __, 96#?
- Is the following statement true or false: every sequence is either arithmetic or geometric?
- How do you find the missing term in the geometric sequence: #-5, 10, -20, 40, __#?
- How do you find the geometric means in each sequence #1/24, __, __, __, 54#?
- How do you find the geometric means in each sequence #-2, __, __, __, __, -243/16#?
- How do you find the missing terms of the geometric sequence:2, __, __, __, 512, ...?
- How do you find the 9th term of the geometric sequence: 1875, 375, 75, 15,...?
- How do you write the next three terms of the geometric sequence #-2, -12, -72, -432,...# and graph the sequence?
- How do you write the next three terms of the geometric sequence #54/25, 18/5, 6, 10, ...# and graph the sequence?
- How do you find the common ratio of the geometric sequence 7,-14,28,-56?
- How do you find the common ratio of the geometric sequence 135, 45, 15, 5?
- What is the 5th term in the following geometric sequence 2, -14, 98, -686?
- If the fifth and sixth terms of a geometric sequence are 8 and 16 respectively, then what is the third term?
- What is the ratio (multiplier) for the following geometric sequence 8, 2, 0.5, 0.125.?
- If the fifth and sixth terms of a geometric sequence are 8 and 16, respectively, then what is the first term?
- The first term of a geometric sequence is 200 and the sum of the first four terms is 324.8. How do you find the common ratio?
- What is the missing term in this geometric sequence ..., -32, __, -128, ...?
- How do you identify the 10th term of the sequence 2, -8, 32?
- In a geometric sequence, #a_n=-1215#, #a_1= 5# and #r=- 3#. What is the value of n?
- What is a possible value for the missing term of the geometric sequence 1250,__,50,..?
- How do you prove that arithmetic mean, geometric mean and harmonic mean of two numbers are in geometric sequence?
- How do you determine whether the sequence #5, 15, 45, 135,...# is geometric and if it is, what is the common ratio?
- How do you determine whether the sequence #3, 12, 48, 192,...# is geometric and if it is, what is the common ratio?
- How do you determine whether the sequence #3, 12, 21, 30,...# is geometric and if it is, what is the common ratio?
- How do you determine whether the sequence #36, 27, 18, 9,...# is geometric and if it is, what is the common ratio?
- How do you determine whether the sequence #1, -1/2, 1/4, -1/8,...# is geometric and if it is, what is the common ratio?
- How do you determine whether the sequence #5, 1, 0.2, 0.04,...# is geometric and if it is, what is the common ratio?
- How do you determine whether the sequence #1/8, 1/4, 1/2, 1,...# is geometric and if it is, what is the common ratio?
- How do you determine whether the sequence #9, -6, 4, -8/3,...# is geometric and if it is, what is the common ratio?
- How do you determine whether the sequence #1, 1/2, 1/3, 1/4,...# is geometric and if it is, what is the common ratio?
- How do you determine whether the sequence #1/5, 2/7, 3/9, 4/11,...# is geometric and if it is, what is the common ratio?
- How do you write the first five terms of the geometric sequence #a_1=2, r=3#?
- How do you write the first five terms of the geometric sequence #a_1=6, r=2#?
- How do you write the first five terms of the geometric sequence #a_1=1, r=1/2#?
- How do you write the first five terms of the geometric sequence #a_1=1, r=1/3#?
- How do you write the first five terms of the geometric sequence #a_1=5, r=-1/10#?
- How do you write the first five terms of the geometric sequence #a_1=6, r=-1/4#?
- How do you write the first five terms of the geometric sequence #a_1=1, r=e#?
- How do you write the first five terms of the geometric sequence #a_1=3, r=sqrt5#?
- How do you write the first five terms of the geometric sequence #a_1=2, r=x/4#?
- How do you write the first five terms of the geometric sequence #a_1=5, r=2x#?
- How do you write the first five terms of the geometric sequence #a_1=64, a_(k+1)=1/2a_k# and determine the common ratio and write the nth term of the sequence as a function of n?
- How do you write the first five terms of the geometric sequence #a_1=81, a_(k+1)=1/3a_k# and determine the common ratio and write the nth term of the sequence as a function of n?
- How do you write the first five terms of the geometric sequence #a_1=7, a_(k+1)=2a_k# and determine the common ratio and write the nth term of the sequence as a function of n?
- How do you write the first five terms of the geometric sequence #a_1=5, a_(k+1)=-2a_k# and determine the common ratio and write the nth term of the sequence as a function of n?
- How do you write the first five terms of the geometric sequence #a_1=6, a_(k+1)=-3/2a_k# and determine the common ratio and write the nth term of the sequence as a function of n?
- How do you write the expression for the nth term of the geometric sequence #a_1=4, r=1/2, n=10#?
- How do you write the expression for the nth term of the geometric sequence #a_1=5, r=3/2, n=8#?
- How do you write the expression for the nth term of the geometric sequence #a_1=6, r=-1/3, n=12#?
- How do you write the expression for the nth term of the geometric sequence #a_1=64, r=-1/4, n=10#?
- How do you write the expression for the nth term of the geometric sequence #a_1=100, r=e^x, n=9#?
- How do you write the expression for the nth term of the geometric sequence #a_1=500, r=1.02, n=40#?
- How do you write the expression for the nth term of the geometric sequence #a_1=1000, r=1.005, n=60#?
- How do you write the expression for the nth term of the geometric sequence #a_1=16, a_4=27/4, n=3#?
- How do you write the expression for the nth term of the geometric sequence #a_2=3, a_5=3/64, n=1#?
- How do you write the expression for the nth term of the geometric sequence #a_4=-18, a_7=2/3, n=6#?
- How do you write the expression for the nth term of the geometric sequence #a_3=16/3, a_5=64/27, n=7#?
- Given the sequence # { 6,18,54,162,... } #, find the next three terms and an expression for the #n^(th)# term?
- How do you find the sum of the finite geometric sequence of #sum_(i=1)^100 15(2/3)^(i-1)#?
- What is the geometric sequence for #3, 6, 12, 24, ...#?
- If a geometric sequence starts with a first term of 2 and grows exponentially by a factor of 3, what is the sum of the 4th and 5th terms?
- Question #bf7de
- How do you tell whether the sequence #3, 5, 7, 9, 11,...# is geometric?
- How do you tell whether the sequence #5, 10, 20, 40, 80, ...# is geometric?
- How do you tell whether the sequence #100, 50, 25, 25/2, 25/4,...# is geometric?
- How do you tell whether the sequence #1, 3, 7, 15, 31,...# is geometric?
- How do you tell whether the sequence #3, 9, 27, 81, 243,...# is geometric?
- How do you tell whether the sequence #-6, -2, -2/3, -2/9, -2/27# is geometric?
- How do you write a rule for the nth term of the geometric term and then find #a_6# given #r=3, a_1=2#?
- How do you write a rule for the nth term of the geometric term and then find #a_6# given #r=1/10, a_2=4#?
- How do you write a rule for the nth term of the geometric term and then find #a_6# given #r=-1/2, a_3=8#?
- How do you write a rule for the nth term of the geometric term given the two terms #a_1=1, a_3=9#?
- How do you write a rule for the nth term of the geometric term given the two terms #a_3=24, a_5=96#?
- How do you write a rule for the nth term of the geometric term given the two terms #a_2=2, a_6=512#?
- How do you write a rule for the nth term of the geometric term given the two terms #a_2=2, a_5=1/4#?
- How do you write a rule for the nth term of the geometric term given the two terms #a_3=25, a_6=-25/64#?
- How do you write a rule for the nth term of the geometric term given the two terms #a_4=-8/9, a_7=-64/243#?
- How do you write a rule for the nth term of the geometric sequence and then find #a_5# given #a_1=17, r=-2#?
- How do you write a rule for the nth term of the geometric sequence and then find #a_5# given #a_4=-3, r=-2#?
- How do you write a rule for the nth term of the geometric sequence and then find #a_5# given #a_3=-144, r=0.5#?
- How do you write a rule for the nth term of the geometric sequence and then find #a_5# given #a_4=1/27, r=4/3#?
- How do you write a rule for the nth term of the geometric sequence and then find #a_5# given #a_4=189/1000, r=3/5#?
- How do you write a rule for the nth term of the geometric sequence and then find #a_5# given #a_3=-28, r=7/3#?
- How do you write a rule for the nth term of the geometric sequence given the two terms #a_2=36, a_4=576#?
- How do you write a rule for the nth term of the geometric sequence given the two terms #a_2=-153, a_4=-17#?
- How do you write a rule for the nth term of the geometric sequence given the two terms #a_4=351, a_7=13#?
- How do you write a rule for the nth term of the geometric sequence given the two terms #a_3=5, a_6=5000#?
- How do you write a rule for the nth term of the geometric sequence given the two terms #a_2=4, a_5=256/27#?
- If #log_2 x#, #1 + log_4 x# and #log_8 4x# are consecutive terms of a geometric sequence, what are all possible values of #x#?
- What is the sequence of the diagonals of a polygon?
- The first three terms of a geometric series are #5, 15, 45#. If the nth term of this series is #10935#, what is the sum of the first n terms?
- Question #730a0
- Find the common ratio for the following geometric sequence? 0.75, 1.5, 3, 6, . . .
- Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 8 and the 8th term is 18?
- Question #bfd15
- What is the difference between a Geometric Sequence, Geometric Series and a Geometric Mean?
- A Geometric Sequence has 3rd term of 12 and 5th term of 48. What are the possible values for the common ratio?
- Question #f239c
- If the first three terms of a Geometric Series are #(k-8),(k+4)# and #(3k+2)#, what is (a) the value of #k#; (b) what is the sixth term of the series and (c) what is the sum of first #10# terms?
- On a geometry sequence, total the 4th and the 6th terms equals 30. While the 3rd term equals 3. The 8th term equals?
- What is the equation for the #n#th term of the geometric sequence #-3, 6, -12, 24, ...#?