# Write an equation for the $n$n th term of the geometric sequence. Then find $a_9$a9 .$5,-10,\ 20,-40,\ \ldots$5,−10, 20,−40, …$a_n=$an= $a_9=$a9=

## Question

## Solution 1

The general formula for the nth term of a geometric sequence is:

a_n = a_1 * r^(n-1)

where:

- a_n is the nth term
- a_1 is the first term
- r is the common ratio
- n is the term number

In this sequence, the first term a_1 is 5 and the common ratio r is -2 (since each term is -2 times the previous Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

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