Question

GIVING 40 POINTS! IF YOU ANSWER THIS: 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.

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

Answer 1

each term is -3 times of the previous term f(n)=-3f(n-1) is the recursive sequence because math 5th term is 4th term times -3 which is -3 times 3rd term (-36) so -36 times -3 times -3=-324 is 5th term

Answer 2

-4 * -3 = 12
12 * -3 = -36

if you start with A1 = -4, then:
A2 = A1 * -3 = -4 * -3 = 12
A3 = A2 * -3 = 12 * -3 = -36
A4 = A3 * -3 = -36 * 108
A5 = A4 * -3 = 108 * -3 = -324