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: 36

Answer

$\dfrac{1}{2}$

Work Step by Step

The general formula to find the nth term of a Geometric sequence is given as: $ a_{n}=a_1r^{n-1}$ Here, $ a_1=16$ and $ r=\dfrac{1}{2}$ Plug $ n=6$ $ a_{6}=16 \times (\dfrac{1}{2})^{6-1}=2^{4} \times (\dfrac{1}{2})^{5}=\dfrac{1}{2}$
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