   Chapter 13.2, Problem 19E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 17-26 ■ Arithmetic Sequence? The first four terms of a sequence are given. Can these terms be the terms of an arithmetic sequence? If so, find the common difference. 16 , 9 , 2 , − 4 , …

To determine

Whether the sequence 16,9,2,4, is arithmetic sequence and the common difference when it is arithmetic sequence.

Explanation

Approach:

An arithmetic sequence is a sequence of the form,

a,a+d,a+2d,a+3d,a+4d,

Here, a is the first term and d is the difference between two consecutive terms.

Given:

The sequence is given as,

16,9,2,4,

Calculation:

Since in the arithmetic sequence, any two consecutive terms of the sequence differ by d. then,

Calculate the common difference between second and first terms.

d=916=7

Calculate the common difference between third and second terms

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