Write an equation for the $n$n​ th term of the geometric sequence. Then find $a_9$a9​​ .$1,\ 4,\ 16,\ 64,\ \ldots$1, 4, 16, 64, …​$a_n=$an​=​  $a_9=$a9​=​

Question

Write an equation for the $n$n​ th term of the geometric sequence. Then find $a_9$a9​​ .$1,\ 4,\ 16,\ 64,\ \ldots$1, 4, 16, 64, …​$a_n=$an​=​  $a_9=$a9​=​
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Solution 1

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

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 1 and the common ratio r can be found by dividing the second term by th Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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

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