For the following geometric sequence find the recursive formula and the 5th term in the sequence. In your final answer, include all of your work.

Question

{-4, 12, -36, ...}

Answer 1

12/-4 = -3
-26/12 = -3
so, clearly

A_n+1 = A_n * -3

Now you know you have

a = -4
r = -3

and use your formula to get the 5th term.