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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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Section
BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

Geometric Sequences If a 1 , a 2 , a 3 , ... and b 1 , b 2 , b 3 , ... are geometric sequences, show that a 1 b 1 , a 2 b 2 , a 3 b 3 , ... is also a geometric sequence.

To determine

To show:

The sequence a1b1,a2b2,a3b3,... is a geometric sequence

Explanation

Given:

The sequences a1,a2,a3,... and b1,b2,b3,... are geometric sequences.

Approach:

In geometric sequence, ratios of terms are same.

Calculation:

The sequence a1,a2,a3,... is geometric sequence

a2a1=a3a2=....(1)

The sequence b1,b2,b3,... is also geometric sequence

b2b1=b3b2=

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Chapter 13 Solutions

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