Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - 11.3 - Geometric Sequences and Series - 11.3 Exercises - Page 796: 67

Answer

$0.1+0.4+1.6+...+102.4=\displaystyle \sum_{n=1}^{6}0.1(4)^{n-1}$

Work Step by Step

$102.4=0.1(1024)=0.1(4)^5$ $0.1+0.4+1.6+...+102.4=0.1(4)^0+0.1(4)^1+0.1(4)^2+...+0.1(4)^5=\displaystyle \sum_{n=1}^{6}0.1(4)^{n-1}$
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