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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 12: Q 27. (page 824)

Find the indicated term of each geometric sequence.
$9 t h$ term of $1, - 1, 1, . . . . . .$

Short Answer

Expert verified

The $9 t h$ term is $1$ .

Step by step solution

01

Step 1. Given information.

We have, $1, - 1, 1, . . . .$

$a_{1} = 1, a_{2} = - 1, a_{3} = 1$

The common ratio is

$\frac{a_{2}}{a_{1}} = \frac{- 1}{1} = - 1 \frac{a_{3}}{a_{2}} = \frac{- 1}{1} = - 1$

The common ratio is $r = - 1$

02

To find the 9th term

The $n t h$ term of a geometric sequence is determined by formula $a_{n} = a_{1} r^{n - 1}$

Substitute $a_{1} = 1, r = - 1$ and $n = 9$

role="math" localid="1647017749428" $a_{9} = 1 {(- 1)}^{9 - 1} a_{9} = {(- 1)}^{8} a_{9} = 1$

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Most popular questions from this chapter

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