   Chapter 13.3, Problem 89E ### 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

# Bouncing Ball A ball is dropped from a height of 80   ft . The elasticity of this ball is such that it rebounds three-fourths of the distance it has fallen. How high does the ball rebound on the fifth bounce? Find a formula for how high the ball rebounds on the n th bounce.

To determine

To find:

The height when the ball rebounds on fifth bounce and formula for the height when the ball rebounds on nth bounce.

Explanation

Given:

a=80ft and r=34

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:

The height when the ball rebounds on first bounce is given by

a2=(80)(34)=60

For the second bounce,

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