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

F(1) = -4

F(2) = -3 * F(1) = -3 * -4 = 12

F(3) = -3 * F(2) = -3 * 12 = -36

...

in general,

F(n) = -3 * F(n-1)

so f(4) = -3*f(3) = -3 * -36 = 108

f(5) = -3 * 108 = -324