Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - 12.4 Find Sums of Infinite Geometric Series - 12.4 Exercises - Problem Solving - Page 825: 41b

Answer

See below

Work Step by Step

The total distance traveled by the ball is: $$2\times6+2\times4.5+2\times3.375+...\\=2(6+4.5+3.375+2.531+...)\\=2(6+6(0.75)+6(0.75)^2+6(0.75)^3+...)\\=2\sum 6(0.75)^{i-1}$$
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