   Chapter 13.3, Problem 86E ### 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

# Arithmetic or Geometric? The first four terms of a sequence are given. Determine whether these terms can be the terms of an arithmetic sequence, a geometric sequence, or neither. If the sequence is arithmetic or geometric, find the next term. (a) 1 , − 1 , 1 , − 1 , ... (b) 5 , 5 3 , 5 6 , 1 , ... (c) 2 , − 1 , 1 2 , 2 , ... (d) x − 1 , x , x + 1 , x + 2 , ...

To determine

(a)

To find:

The terms are arithmetic, geometric, or neither. If arithmetic or geometric, find the next term.

Explanation

Given:

1,1,1,1,...

Approach:

The nth term of an arithmetic sequence is given by

an=a+(n1)d

The nth term of a geometric sequence is given by

an=arn1

where a is the first term, d is the common difference, and r is the common ratio of the sequence

To determine

(b)

To find:

The terms are arithmetic, geometric, or neither. If arithmetic or geometric, find the next term.

To determine

(c)

To find:

The terms are arithmetic, geometric, or neither. If arithmetic or geometric, find the next term.

To determine

(d)

To find:

The terms are arithmetic, geometric, or neither. If arithmetic or geometric, find the next term.

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