   Chapter 13.3, Problem 37E ### 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 th term of the geometric sequence. 1 , s 2 / 7 , s 4 / 7 , s 6 / 7 , ...

To determine

To find:

The common ratio, the fifth term, and the nth term of the geometric sequence,

1,s2/7,s4/7,s6/7,...

Explanation

Approach:

The nth term of a geometric sequence is given by

an=arn1

where a is the first term and r is the common ratio of the sequence.

Calculation:

r=a2a1=s2/71=s2/7

a5=ar4=(1)(s2/7)4=s8/7

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