Chapter 13.CR, Problem 20E

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4th Edition

James Stewart + 2 others

ISBN: 9781305071742

Textbook Problem

**15-22** **Arithmetic or Geometric? **The first four terms of a sequence are given. Determine whether they can be the terms of an arithmetic sequence, a geometric sequence, or neither. If the sequence is arithmetic or geometric, find the fifth term.

To determine

The sequence

Explanation

**Approach:**

An arithmetic sequence is a sequence of the form,

Here,

A geometric sequence is the sequence of the form,

Here,

**Calculation:**

Consider the sequence,

Divide second term by first term of the above sequence,

Divide third term by second term of the above sequence,

The ratio of consecutive terms is not same, so, the sequence is not geometric

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