   Chapter 13.3, Problem 29E ### 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

# 2 9 − 3 8 Terms of a Geometric Sequence Determine the common ratio, the fifth term, and the n t h term of the geometric sequence. 2 , 6 , 18 , 54 , ...

To determine

The common ratio, the fifth term, and the nth term of the geometric sequence, 2,6,18,54,...

Explanation

Approach:

(1) The nth term of a geometric sequence is defined as an=arn1.

(2) The common ratio r of the geometric sequence is calculated by the ratio anan1.

Calculation:

Clearly a=2.

Calculate the ratio of any two consecutive terms.

r=62=3

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