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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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Chapter
Section
BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

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

8 3 . Geometric Means If the numbers a 1 , a 2 , ... , a n forms a geometric sequence, then a 2 , a 3 , ... , a n 1 are geometric means between a 1 and a n . Insert three geometric means between 5 and 80 .

To determine

To find:

Three geometric means between 5 and 80

Explanation

Given:

a1=5a5=80

Approach:

Since this sequence is geometric, its nth term is given by the formula

an=arn1. Thus

Calculation:

a5=80ar4=80(5)r4=80r=2

The nth term of this sequence is

an=(5)(2)n1

Thus

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