Chapter 12: Q. 28 (page 824)

Find the indicated term of each geometric sequence.
$10 t h$ term of $- 1, 2, - 4, . . . . . .$

Short Answer

Expert verified

The $10 t h$ term is $512$ .

Step by step solution

Step 1. Given information.

We have, $- 1, 2, - 4, . . . . .$

$a_{1} = - 1, a_{2} = 2, a_{3} = - 4$

The common ratio is

$\frac{a_{2}}{a_{1}} = \frac{2}{- 1} = - 2 \frac{a_{3}}{a_{2}} = \frac{- 4}{2} = - 2$

The common ratio $r = - 2$

To find the 10th term.

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

Substitute $a_{1} = - 1, r = - 2$ and $n = 10$

role="math" localid="1647019188211" $a_{n} = a_{1} r^{10 - 1} a_{10} = (- 1) {(- 2)}^{9} a_{10} = 512$

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Find the indicated term of each geometric sequence.
$10 t h$ term of $- 1, 2, - 4, . . . . . .$

Short Answer

Step by step solution

Step 1. Given information.

To find the 10th term.

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Find the indicated term of each geometric sequence. 10thterm of-1,2,-4,......

Short Answer

Step by step solution

Step 1. Given information.

To find the 10th term.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Applied Mathematics

Pure Maths

Calculus

Probability and Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Find the indicated term of each geometric sequence.
$10 t h$ term of $- 1, 2, - 4, . . . . . .$