Question

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

an=a*q^(n-1)
a1=-4
a2=12
q=-3
a5=-4*5^4=-2500