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

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 $r = - 1$

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

Short Answer

Step by step solution

Step 1. Given information.

To find the 9th term

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Find the indicated term of each geometric sequence. 9th term of1,-1,1,......

Short Answer

Step by step solution

Step 1. Given information.

To find the 9th term

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

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Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

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