Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Review Exercises - Page 1125: 56

Answer

The total spending is $\$9.33\bar{3}$ million.

Work Step by Step

Here, the provided sum is a geometric sequence: $\begin{align} & 4\left( 0.7 \right)+4{{\left( 0.7 \right)}^{2}}+....\ ;\ r=0.7 \\ & {{S}_{\infty }}=\frac{{{a}_{1}}{{\left( r \right)}^{n-1}}}{1-r} \\ & {{S}_{\infty }}=\frac{4\left( 0.7 \right)}{1-0.7} \\ & {{S}_{\infty }}=9.\overline{3} \\ \end{align}$
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