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 1074: 41

Answer

$\dfrac{2}{3}$

Work Step by Step

The general formula to find the sum of an infinite Geometric series is given as: $ S_{n}=\dfrac{a_1}{(1-r)}$ and $ r=\dfrac{a_2}{a_1}=\dfrac{-1/2}{1}=\dfrac{-1}{2}$ Now, $ S_{n}=\dfrac{a_1}{(1-r)}=\dfrac{1}{1-(-\dfrac{1}{2})}$ Our answer is: $ S_{n}=\dfrac{1}{3/2}=\dfrac{2}{3}$
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