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 ->  Sequences-and-series -> 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.      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your equation to find an unknown value of "k" is


%28k%2B1%29%2F%28k-3%29 = %284k-2%29%2F%28k%2B1%29


( saying that the ratio a%5B2%5D%2Fa%5B1%5D  is the same as the ratio  a%5B3%5D%2Fa%5B2%5D ).


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