Sums of Geometric Sequences
Topic Page
Sums of Geometric SequencesQuestions
- What is a sample problem about finding the sum of a geometric sequence?
- What is the formula for the sum of a geometric sequence?
- What is a sample problem about finding the sum of a geometric sequence?
- How do I find the sum of the geometric sequence #3/2#, #3/8#?
- What is the sum of the geometric sequence 3, 15, 75?
- What is the sum of the geometric sequence 8, 16, 32?
- How do I find the sum of the geometric series 8 + 4 + 2 + 1?
- How do you find the sum of the following infinite geometric series, if it exists. 2 + 1.5 + 1.125 + 0.8437 +…?
- How do you find the sum of the first 5 terms of the geometric series: 4+ 16 + 64…?
- How do you find S20 for the geometric series 4 + 12 + 36 + 108 + …?
- How do you find S11 for the geometric series 1 + 3 + 9 + 27 +…?
- How do you find the sum of the following infinite geometric series, if it exists 3 + 9 + 27 + 54 +…?
- What is the sum of the geometric sequence 8, –16, 32 … if there are 15 terms?
- What is the sum of the geometric sequence 4, 12, 36 … if there are 9 terms?
- What is the sum of a 6-term geometric sequence if the first term is 11, the last term is –11,264 and the common ratio is –4?
- What is the sum of an 8-term geometric sequence if the first term is 10 and the last term is 781,250?
- What is the sum of a 7–term geometric series if the first term is –11, the last term is –171,875, and the common ratio is –5?
- How do you find the sum of the first 8 terms of the geometric series 10 + 15 + 22.5 + ...?
- How do you determine the sum of 2 + 8 + 32 + ... + 131 072?
- What is the sum of a 6–term geometric series if the first term is 7 and the last term is 54,432?
- What is the sum of the arithmetic sequence 3, 9, 15…, if there are 22 terms?
- How do you find the sum of the first #13# terms of the geometric sequence: #7, 21, 63, 189, 567, . .#?
- How do you write the first five terms of the geometric sequence a1 = 8; r = 5?
- What is the sum of the geometric sequence 1, –6, 36, … if there are 6 terms?
- What is the sum of the geometric sequence 3, 15, 75, … if there are 8 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 sum of a 6–term geometric series if the first term is 22 and the last term is 1,299,078?
- How do you find the sum of the first six terms of the geometric sequence 1, 1.5, 2, 2.25, ...?
- How do you find the sum of the first 40 terms of the geometric sequence 2, 8, 32, 128?
- 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?
- How do you find the sum of the first 12 terms of the geometric sequence 3, 6, 12, 24?
- What is the sum of #1, 4, 16, 64, ..., a_10#?
- What is the sum of #5, 10, 20, 40,..., a_12#?
- What is the sum of a 6–term geometric series if the first term is 20 and the last term is 336,140?
- What is the sum of the geometric sequence –3, 21, –147, … if there are 6 terms?
- What is the sum of the geometric sequence 1, 4, 16, … if there are 8 terms?
- What is the sum of the geometric sequence -3, 18, -108, … if there are 7 terms?
- What is the sum of the geometric sequence 3, 12, 48, … if there are 8 terms?
- What is the sum of the geometric sequence 1, 3, 9, … if there are 11 terms?
- What is the sum of the geometric sequence 2, 10, 50, … if there are 8 terms?
- How do you find the sum of a finite geometric sequence from n = 1 to n = 8, using the expression #−2(3)^n − 1#?
- An infinite geometric series has 1 and 1⁄5 as its first two terms: 1, 1⁄5, 1⁄25, 1⁄125, . . . . What is the sum, S, of the infinite series?
- How do you find the sum of the first 7 terms of a geometric sequence if the first term is -1 and the common ratio is -3?
- How do you find the sum of the terms of geometric 1, -2, 4, -8..... -8192?
- How do you find the sum of the terms of geometric 4-8+16-32+.....-2048?
- What is the sum of the first five terms of a geometric series with a1=10 and r=1/5?
- How do you find the sum of #6(2)^(i-1)# from i=1 to 10?
- How do you find the sum of #12(-1/2)^(i-1)# from i=0 to 9?
- How do you find the sum of #8(3/4)^(i-1)# from i=1 to 10?
- How do you find the sum of #4(3/2)^(i-1)# from i=0 to 6?
- How do you find the sum of #(-2)^(i-1)# from i=1 to 12?
- How do you find the sum of the first 14 terms of #1+4+16+64+...#?
- How do you find the sum of the first 10 terms of #1+9+81+729+...#?
- How do you find the sum of the first 18 terms of #7+(-21)+63+(-189)+...#?
- How do you find the sum of the first 16 terms of #-90+30+(-10)+10/3+...#?
- How do you find the number of terms given #s_n=341# and #1+4+16+64+...#?
- How do you find the number of terms given #s_n=820# and #1+9+81+729+...#?
- How do you find the number of terms given #s_n=3829# and #7+(-21)+63+(-189)+...#?
- How do you find the number of terms given #s_n=-66.67# and #-90+30+(-10)+10/3+...#?
- Question #c7b29
- If sum of first four terms of a geometric series is #30# and sum of the series to infinity is #32#, find the difference between the sum of the series to infinity and the sum of its first eight terms?
- How do you find #a_7# for the geometric sequence #729, -243,81,...#?
- How do you use a graphing calculator to find the limit of the sequence #a_n=(1/2)^n#?
- How do you use a graphing calculator to find the limit of the sequence #a_n=2^n/(2^n+1)#?
- How do you use a graphing calculator to find the limit of the sequence #a_n=n^2/(n+1)#?
- How do you write a geometric series for which r=1/2 and n=4?
- Using geometric series, why is the polynomial #1+x+x^2+x^3# be written as #(x^4-1)/(x-1)# assuming x does not equal 1?
- How do you write the series #2+12+72+432+2592# using sigma notation?
- How do you find #S_n# for the geometric series #a_1=12#, #a_5=972#, r=-3?
- How do you find #S_n# for the geometric series #a_1=3#, #a_n=46,875#, r=-5?
- How do you find #S_n# for the geometric series #a_1=5#, r=2, n=14?
- How do you find #S_n# for the geometric series #a_1=243#, r=-2/3, n=5?
- How do you find the sum of the geometric series #54+36+24+16+...# to 6 terms?
- How do you find the sum of the geometric series #3-6+12-...# to 7 terms?
- How do you find the sum of the geometric series #Sigma 1/4*2^(n-1)# n=1 to 5?
- How do you find the sum of the geometric series #Sigma 81 (1/3)^(n-1)# n=1 to 7?
- How do you find #a_1# for each geometric series #S_n=381/64#, r=1/2, n=7?
- How do you find #a_1# for each geometric series #S_n=33#, #a_n=48#, r=-2?
- Heavy rain caused a river to rise. The river rose three inches the first day, and each additional day it rose twice as much as the previous day. How much did the river rise in five days?
- How do you find #S_n# for the geometric series #a_1=2#, #a_6=486#, r=3?
- How do you find #S_n# for the geometric series #a_1=1296#, #a_n=1#, r=-1/6?
- How do you find #S_n# for the geometric series #a_1=343#, #a_n=-1#, r=-1/7?
- How do you find #S_n# for the geometric series #a_1=4#, r=-3, n=5?
- How do you find #S_n# for the geometric series #a_1=5#, r=3, n=12?
- How do you find #S_n# for the geometric series #a_1=2401#, r=-1/7, n=5?
- How do you find #S_n# for the geometric series #a_1=625#, r=3/5, n=5?
- How do you find #S_n# for the geometric series #a_1=162#, r=1/3, n=6?
- How do you find #S_n# for the geometric series #a_1=80#, r=-1/2, n=7?
- How do you find #S_n# for the geometric series #a_1=4#, r=0.5, n=8?
- How do you find #S_n# for the geometric series #a_2=-36#, a_5=972#, n=7?
- How do you find #S_n# for the geometric series #a_3=-36#, #a_6=-972#, #n=10#?
- How do you find the sum of the geometric series #4096-512+64-...# to 5 terms?
- How do you find the sum of the geometric series #7+21+63+...# to 10 terms?
- How do you find the sum of the geometric series #1/16+1/4+1+...# to 7 terms?
- How do you find the sum of the geometric series #1/9-1/3+1-...# to 6 terms?
- How do you find the sum of the geometric series #Sigma 5* 2^(n-1)# n=1 to 9?
- How do you find the sum of the geometric series #Sigma 2(-3)^(n-1)# n=1 to 6?
- How do you find the sum of the geometric series #Sigma 144(-1/2)^(n-1)# to n=1 to 7?
- How do you find the sum of the geometric series #Sigma 64(3/4)^(n-1)# n=1 to 8?
- How do you find the sum of the geometric series #Sigma 3* 2^(n-1)# from n=1 to 20?
- How do you find the sum of the geometric series #Sigma 4*3^(n-1)# from n=1 to 16?
- How do you find #a_1# for the geometric series given #S_n=688#, #a_n=16#, r=-1/2?
- How do you find #a_1# for the geometric series given #S_n=-364#, r=-3, n=6?
- How do you find #a_1# for the geometric series given #S_n=1530#, r=2, n=8?
- How do you find #a_2# for the geometric series given #S_n=315#, r=0.5, n=6?
- How do you find #a_3# for the geometric series given #S_n=249.92#, r=0.2, n=5?
- If #a_1# and r are integers, why is the value of #(a_1 - a_1r^n)/(1-r)# must also be an integer?
- The first term of a geometric series is -1, and the common ratio is -3. how many terms are in the series if its sum is 182?
- What is the first term in a geometric series with ten terms a common ratio of 0.5, and a sum of 511.5?
- How do you use a graphing calculator to find the sum of the geometric series #Sigma 2(1/2)^(n-1)# from n=1 to 15?
- How do you use a graphing calculator to find the sum of the geometric series #Sigma 5(0.2)^(n-1)# from n=1 to 10?
- How do you write the series #1/2+1/4+1/8+1/16+...# using sigma notation?
- Why is 0.99999..=1?
- How do you find #S_n# for the geometric series #a_1=1#, #a_6=-243#, r=-3?
- How do you find #S_n# for the geometric series #a_1=72#, r=1/3, n=7?
- How do you find the sum of the infinite geometric series #1/8+1/32+1/128+...#?
- How do you find the sum of the infinite geometric series #4-8/3+16/9+...#?
- How do you find the sum of the geometric series #2-10+50-...# to 6 terms?
- How do you find the sum of the geometric series #3+1+1/3+...# to 7 terms?
- The sum of the first #3# terms in a geometric series with common ratio #3# is #52#. What are the values of #t_1# and #t_6#?
- For the geometric series # 54+36+...+128/27#, how do you determine the sum?
- How do you find the sum of the first 20 terms of the sequence 1, -3, 9,...?
- What is the sum of the geometric series #Sigma 6(2)^n# from n=1 to 10?
- If third and fourth terms of an infinite geometric sequence are #27# and #20 1/4#, find its tenth term and sum up to infinity?
- Sum of each of the following infinite series ?
- The sum to infinity if a GP is 16 and the sum of the first 4 terms is 15. Find the first four terms?