# Use the formula for the general term (the nth term) of a geometric sequence to find the indicated...

## Question:

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, {eq}a_1 {/eq}, and common ratio, {eq}r {/eq}.

Find {eq}a_{12} {/eq} when {eq}a_1 = 5, r = -2 {/eq}.

## Common Ratio of a Geometric Sequence

The common ratio of a geometric sequence is defined as the ratio of its consecutive terms and is denoted by {eq}r {/eq}. Using this common ratio and any other term of the geometric sequence, the first term can be found or vice versa.

## Answer and Explanation: 1

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View this answerThe following information is given:

- The first term is equal to {eq}5. {/eq}

- The common ratio is equal to {eq}-2. {/eq}

Using the formula for the...

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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.

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