Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 11 - Review - Page 668: 57

Answer

$S_{\infty}=-25$

Work Step by Step

Using $S_{\infty}=\dfrac{a_1}{1-r}$, the sum of the infinite geometric sequence $ -20,-4,-\dfrac{4}{5},... $ is \begin{array}{l} S_{\infty}=\dfrac{-20}{1-\dfrac{1}{5}}\\\\ S_{\infty}=\dfrac{-20}{\dfrac{4}{5}}\\\\ S_{\infty}=-25 .\end{array}
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