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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 12: Q 74 (page 1175)

Which terms of the sequence are negative when the
$n_{t h}$ term of the sequence is role="math" localid="1646927036798" $a_{n} = {(- 1)}^{n} (n + 2)$ ?

Short Answer

Expert verified

The odd terms of the sequence are negative.

Step by step solution

01

Step 1. Given information

$a_{n} = {(- 1)}^{n} (n + 2)$

02

Step 2.

The terms of the sequence are $- 3, 4, - 5, 6, - 7, . . . .$

The odd terms of the sequence are negative.

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Most popular questions from this chapter

Find the sum of the first 30 terms of the arithmetic sequence: 7, 10, 13, 16, 19, ….

Find the sum of the first $20$ terms of the geometric sequence $6, 18, 54, 162, 486, 1, 458, \dots$

Determine if each sequence is geometric. If so indicate the common ratio.

ⓐ $- 150, - 30, - 15, - 5, \frac{- 5}{2}, 0, \dots$

ⓑ $5, 10, 20, 40, 80, 160, \dots$

ⓒ $8, 4, 2, 1, \frac{1}{2}, \frac{1}{4}, \dots$

Find the sum of the first $20$ terms of the geometric sequence $3, 6, 12, 24, 48, 96, \dots$ .

In the following exercises, write the first five terms of each arithmetic sequence with the given first term and common difference.

$a_{1} = 8$ and $d = - 2$

See all solutions

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