Precalculus (6th Edition) Blitzer

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

Chapter 10 - Section 10.3 - Geoetric Sequences and Series - Exercise Set - Page 1076: 104


Does not make sense.

Work Step by Step

We can observe that the given series is an infinite geometric series with $a=3$ and $r=\frac{1}{3}$. Thus $\begin{align} & {{S}_{n}}=\frac{a}{\left( 1-r \right)} \\ & =\frac{3}{\left( 1-\frac{1}{3} \right)} \\ & =\frac{3}{\left( \frac{2}{3} \right)} \\ & =\frac{9}{2} \end{align}$ Therefore, we cannot find the sum of the infinite series by addition.
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