Algebra and Trigonometry 10th Edition

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

Chapter 11 - Review Exercises - Page 841: 58



Work Step by Step

$\displaystyle \sum_{i=1}^{4}20(0.2)^{i-1}=20(0.2)^0+20(0.2)^1+20(0.2)^2+20(0.2)^3$ $a_1=20(0.2)^0=20$ $r=\frac{a_2}{a_1}=\frac{20(0.2)^1}{20(0.2)^0}=0.2$ $S_5=a_1(\frac{1-r^n}{1-r})=20(\frac{1-0.2^4}{1-0.2})=20~\frac{0.9984}{0.8}=24.96$
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