Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 11 - Section 11.3 - Geometric Sequences and Series - Exercise Set - Page 854: 30

Answer

$0.00032$

Work Step by Step

Formula to calculate the n-th term of a geometric series is $a_n=a_1r^{n-1}$ Here, common ratio $r=\dfrac{a_2}{a_1}$ For $n=7$ Thus, $a_7=(5)(\dfrac{-1}{5})^{7-1}=\dfrac{1}{3125}=0.00032$
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