Question

Formulate the recursive formula for the following geometric sequence.
{-16, 4, -1, ...}

Answer 1

Explanation:

each term is negative and 1/4 of previous term so the nth term is the n-1 term times -1/4 so f(n)= -1/4 f(n-1)

Answer 2

The first term is -16, so we have

... a[1] = -16

Each term is -1/4 of the one before it, so the recursive rule is

... a[n+1] = (-1/4)a[n]