# Geometric Sequences and Exponential Functions

### Topic Page

Geometric Sequences and Exponential Functions### Questions

- What is Geometric Sequences ?
- How are exponential functions related to geometric sequences?
- How do you use the geometric sequence formula to find the nth term?
- What is the constant ratio "r" mean in a geometric sequence formula?
- Is the following an example of a geometric sequence: –1, 1, –1, 1, –1, ... ?
- What is the constant ratio "r" in the example 2, –8, 32, –128?
- How do you determine the first 5 terms if #a_1=2# and #r=3#?
- How do you find #a_4# if #a_1=-7# and #r=-3/4#?
- How do you graph: #y = 2^x + 2#?
- How do you graph: #f(x)=4^x#?
- The first term of geometric sequence is 512 and the common ratio is 0.5 what is the 8th term of the sequence?
- The fish population of lake henry is decreasing at a rate of 4% per year. in 2002 there were about 1,250 fish. write an exponential decay function to model this situation then find the population in 2008?
- For the sequence an = 3n - 5, what is the value of a10?
- How do you tell whether the sequence -8, 2, 12.... is arithmetic, geometric, or neither?
- How do you tell whether the sequence -8, 24, -72.... is arithmetic, geometric, or neither?
- How do you write the first 5 terms of the sequence #An= 3n +1#?
- How do you write an explicit rule for the sequence R= 2, a1= 5?
- What is the formula to this math sequence: 1, 3, 7, 14?
- What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?
- How do you find the exponential function formula for the points (32,6) and (48,14)?
- How do you find the exponential function formula for the points h(0) = 3 and h(1) = 15?
- How do you find the exponential function formula for the points g(2)=45 and g(4)=405?
- If the first point is (-2, 45/4) and the second point is (1, 10/3), how do I find the formula for exponential growth?
- What is the common ratio of the geometric sequence 16, 24, 36, 54...?
- What Is the common difference or common ratio of the sequence 2, 5, 8, 11...?
- What are the numbers that come next in these sequences: 3,9,27,81?
- What are the numbers that come next in these sequences: 3,3,6,9,15,24?
- What are the numbers that come next in these sequences: 1,5,2,10,3,15,4?
- Question #36bf7
- How do you find an exponential function of the form #y=ab^x# whose graph passes through the points (2,1) and (3,2)?
- The first term of a geometric sequence with common ratio #7# is #1#. What is the 6th term?
- What are the next three terms of the series #{4,24,144,.........}#?
- Question #1f6de
- Question #42911
- .What is #x# if the sequence #1,5, 2x+3# ....is an arithmetic sequence?
- What are the next two numbers in the pattern, 5, -10, -20, -40?
- What are the first three terms of a geometric sequence with a common ratio of #2/5# if the sixth term is #64/25#?
- The sum of the first #5# terms of a geometric sequence is #93# and the #10#th term is #3/2#. What is the common ratio and what is the fourth term?
- Given that the third term #a_3# of a geometric sequence is #2# and the sixth term #a_6# is #128#, which term is #1/2# ?
- Question #b65ad
- Question #ff2fc
- #20, 10, 2.5# ?
- Question #4af87
- Question #291a6
- What is the next term in the sequence: #sqrtx/3, (2sqrtx)/3, sqrtx,...#?
- What is the general term of the sequence #{10,-20,40,-80,....}#?
- What is the #n th# term for an AP with a common difference of #-4.5?#
- What is the next term in the sequence 1/8, 1/4, 1/2, ..?
- Question #99b2b
- Question #97138
- What is the formula for the sum: #1+2*2+3*3*3+4*4*4*4+...+overbrace(n*n*n*...*n)^"n terms"# ?
- What is the rule for the sequence #3, 5, 8, 13, 21,...# ?
- The sum of all the terms common to the arithmetic progressions 1, 3, 5, ....., 1991 and 1, 6, 11, ......., 1991, is? (1) 199100 (2) 199200 (3) 199300 (4) 200196
- Given the geometric sequence: #4,24,144, ...#. What is the common ratio?
- Question #a32a3
- What is the formula for the #n#th term of the sequence #1, 3, 6, 10, 15,...# ?
- What is the next term in the sequence #5, 4, 10, 35, 97# ?
- What is the recursive formula for geometric sequence #{2,10,50,250,..........}#?
- What's the next term in this sequence? #1/98, 1/49, 2/49, 4/49#
- What is the formula for the #n#th term of the sequence #1, 3, 9, 19,...# ?
- Question #c610c
- What is the general expression for the #n^(th)# term of the geometric sequence #2, 8,16, ...#?
- Consider the sequence 1, 3, 3, 3, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, ... What is its 2016th term?
- Question #35514
- Question #15eb7
- What is the recursive formula for the sequence #4, 12, 20,...# ?
- What is the domain of the number of terms of an arithmetic sequence? A. Natural numbers B. Integers C. Rational numbers D. Real numbers
- The second and fifth term of a geometric series are 750 and -6 respectively. Find the common ratio of and the first term of the series?
- (1) Find first five terms f the following sequences? (2) Given first few terms find the explicit formula for #n^(th)# term?
- Question #fdf33
- What is the next number in the sequence: 4,9,26,105,524?
- What is the constant term in the expansion of #(x^2-x-2)^15#?
- Question #a422c
- Find a formula for Sn, the sum of the first n terms of the following geometric sequence. Help?
- Question #1df71
- If first term of a G.P. is #1024# and fourth term is #-16#, which of the following is seventh term?
- Question #ca3df
- Question #d7237
- Question #5bc5b
- Show # 1.2.3 + 2.3.4+ 3.4.5 + ... + n(n+1)(n+2) = 1/4n(n+1)(n+2)(n+3)#?
- Question #d2197
- Question #7a42d
- Question #59ec4
- Question #a5432
- In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the pattern in the sequence if it exists and if possible find the sixth term. #2a, 2a^2b, 2a^3b^2, 2a^4b^3. . .#?
- What is the next fraction in this sequence? Simplify your answer. 2/3, 1/3, 1/6, 1/12
- Calculate #A#, where #A = 2 + 2xx2 + 2xx2xx2 + 2xx2xx2xx2 + ... + 2xx2 ... 2xx2# (the last number has 2013 digits 2)?
- {4,-8,16,-32,...} In this geometric series what is the value of "q" term?
- Show that The following series is in GP ( Geometric Progression ) ?