Chapter 12: Q 21. (page 808)

Problems 17–28, write down the first five terms of each sequence.
$\{c_{n}\} = \{{(- 1)}^{n + 1} n^{2}\}$

Short Answer

Expert verified

The first five terms of the given sequence are $1, - 4, 9, - 16, 25$

Step by step solution

Step 1. Write the given sequence.

The given sequence is $\{c_{n}\} = \{{(- 1)}^{n + 1} n^{2}\}$

Step 2. Find the first five terms of the sequence.

To find the five terms in the given sequence we substitute

$1, 2, 3, 4 a n d 5 i n t o n$

$\{c_{1}\} = \{{(- 1)}^{1 + 1} 1^{2}\} = 1 \{c_{2}\} = \{{(- 1)}^{2 + 1} 2^{2}\} = - 4 \{c_{3}\} = \{{(- 1)}^{3 + 1} 3^{1}\} = 9 \{c_{4}\} = \{{(- 1)}^{4 + 1} 4^{2}\} = - 16 \{c_{5}\} = \{{(- 1)}^{5 + 1} 5^{2}\} = 25$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Problems 17–28, write down the first five terms of each sequence.
$\{c_{n}\} = \{{(- 1)}^{n + 1} n^{2}\}$

Short Answer

Step by step solution

Step 1. Write the given sequence.

Step 2. Find the first five terms of the sequence.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Mechanics Maths

Applied Mathematics

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Problems 17–28, write down the first five terms of each sequence.cn=-1n+1n2

Short Answer

Step by step solution

Step 1. Write the given sequence.

Step 2. Find the first five terms of the sequence.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Mechanics Maths

Applied Mathematics

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Problems 17–28, write down the first five terms of each sequence.
$\{c_{n}\} = \{{(- 1)}^{n + 1} n^{2}\}$