Find the indicated term of the geometric sequence.

{eq}a_1 = 4 {/eq}, {eq}r = \frac{4x}{3} {/eq}, 6th term.

## Question:

Find the indicated term of the geometric sequence.

{eq}a_1 = 4 {/eq}, {eq}r = \frac{4x}{3} {/eq}, 6th term.

## Geometric Sequence:

A geometric sequence starts with a quantity called the scale factor, which is often denoted as {eq}a_1 {/eq}. To get the next terms, a common value {eq}r {/eq} must be multiplied to each previous term. To get the {eq}n^{ \mathrm{th} } {/eq} term, the formula below can be implemented:

{eq}a_n = a_1 r^{n-1} {/eq}

## Answer and Explanation: 1

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View this answerWe have {eq}r= \displaystyle \frac{4x}{3} {/eq} and {eq}a_1=4 {/eq}, which we'll both substitute to the formula {eq}a_n = a_1 r^{n-1} {/eq}.

We'll...

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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.