   Chapter 13.3, Problem 25E ### 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

# 23-28. Geometric Sequence? Find the first five terms of the sequence, and determine whether it is geometric. If it geometric, find the common ratio, and express the nth term of the sequence in the standard form a n = a r n − 1 . a n = 1 4 n

To determine

To find:

The first five terms of the sequence an=14n and check it is geometric or not.

Explanation

Calculation:

The first five terms of the sequences are as follows.

a1=141=14a2=142=116

a3=143=164a4=144=1256

a5=145=11024

The ratios of these terms are,

a5a4=(11024)(1256)=14

a4a3=(1256)(164)=14

a3a2=(164)(116)=14

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