# Find a formula for the nth term of the geometric sequence. Then find the indicated term of the...

## Question:

Find a formula for the {eq}n {/eq}th term of the geometric sequence. Then find the indicated term of the geometric sequence.

10th term: 5, 30, 180,...

## Geometric Sequence:

In a geometric sequence, the quotient of any two consecutive terms is always equal to the common ratio {eq}r {/eq}. If the first term is {eq}a_1 {/eq}, then the general term of a geometric sequence is obtained using the formula:

$$a_n = a_1 r^{n-1} $$

When {eq}r {/eq} is negative, an alternating sequence is created as the terms will alternate between negative and positive.

## Answer and Explanation: 1

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View this answerFirst, we'll obtain the general term using {eq}a_1 = 5 {/eq} and {eq}r= \displaystyle \frac{30}{5}=6 {/eq}, which is the ratio of the first two...

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Chapter 27 / Lesson 26Learn about geometric sequences. Understand what a geometric sequence is, learn how to find the common ratio of a geometric sequence, and see examples.