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: 40


$\dfrac{-4}{729}$ or, $-0.00549$

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=12$ and $ r=\dfrac{-1}{3}$ Plug $ n=8$ $ a_{8}=12 \times (\dfrac{-1}{3})^{8-1}=12 \times (\dfrac{-1}{3})^{7}=\dfrac{-4}{729}=-0.00549$
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