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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​=​

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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​=​
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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.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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