   Chapter 13.3, Problem 13E ### 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

# SKILLS13-22 ■ Geometric Sequence? The first four terms of a sequence are given. Determine whether these terms can be the terms of a geometric sequence. If the sequence is geometric, find the common ratio. 3 , 6 , 12 , 24 , …

To determine

Whether the terms in the sequence 3, 6, 12, 24, are the terms of a geometric sequence and the common ratio of the geometric sequence.

Explanation

Given:

The first four terms of the sequence are,

3, 6, 12, 24,

Approach:

A geometric sequence is of the form,

a, ar, ar2, ar3, ar4,

Common ratio r is the ratio of any two consecutive terms of the sequence.

r=an+1an

Calculation:

It is observed that the common ratio of the sequence is same, so it is a geometric sequence.

r1=63=2

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