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: 47

Answer

$\dfrac{47}{99}$

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{47/10,000}{47/100}=0.01$ Now, $ S_{n}=\dfrac{a_1}{(1-r)}=\dfrac{7/100}{1-0.01}$ Our answer is: $ S_{n}=\dfrac{47/100}{99/100}=\dfrac{47}{99}$
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