   Chapter 13.CT, Problem 7CT ### 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

# Let a 1 , a 2 , a 3 , ... be a geometric sequence with initial term a and common ratio r   . Show that a 2 1 , a 2 2 , a 2 3 , ... is also a geometric sequence by finding its common ratio.

To determine

To show:

The sequence a21,a22,a23,... is a geometric sequence.

Explanation

Given:

The sequence a1,a2,a3,... is a geometric sequence with initial term a and common ratio r.

Approach:

Use formula for nth term of geometric sequence given by an=arn1.

Calculation:

Formula for nth term of geometric sequence is an=arn1.

Square both sides,

(an)2=(arn

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