SOLUTION: How to use the nth term of a geometric sequence to find the value of k. So the terms k-3, k+1, and 4k-2 form a geometric sequence.

Algebra.Com
Question 1118835: How to use the nth term of a geometric sequence to find the value of k. So the terms k-3, k+1, and 4k-2 form a geometric sequence.
Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.
Your equation to find an unknown value of "k" is


 = 


( saying that the ratio   is the same as the ratio   ).


To solve it,  multiply both sides by  (k-3)*(k+1)  and then simplify and solve the equation you will get.


RELATED QUESTIONS

Find the nth term of the geometric sequence where a1=4 and a(k+1)=1/2a(k) i am so... (answered by sudhanshu_kmr)
Write the nth term of the geometric sequence as a function of n. {{{ a[1] = -3}}} ,... (answered by Edwin McCravy)
The first three terms of a geometric progression are k + 15,k and k - 12 respectively,... (answered by ikleyn)
The first three terms of a geometric progression are k + 15,k and k - 12 respectively,... (answered by ikleyn)
2) Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following: a)... (answered by stanbon)
Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following: a) What is... (answered by rmromero)
If S is sum of infinite geometric series with first term k and common ratio is k/(k+1)... (answered by robertb)
Use the geometric sequence of numbers 1, 2, 4, 8,…to find the following: a)What is r,... (answered by sarah_adam)
Use the geometric sequence of numbers 1, 2, 4, 8,... to find the following: a) What is (answered by Edwin McCravy)