Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 12 - Sequences and Series - 12.4 Infinite Series - 12.4 Exercises - Page 639: 29



Work Step by Step

The total distance travelled by the ball is $a_{1}+a_{2}+a_{3}+...=10+\frac{2\times3(10)}{4}+\frac{2\times3^{2}(10)}{4}+\frac{2\times3^{3}(10)}{4}+..$ $=10+2\times10[\frac{3}{4}+(\frac{3}{4})^{2}+(\frac{3}{4})^{3}+...]$ $=10+20(\frac{\frac{3}{4}}{1-\frac{3}{4}})=70$
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