Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 11 - Section 11.1 - Sequences - 11.1 Exercises - Page 704: 5


The first five terms are $\frac{1}{5}, \frac{-1}{25}, \frac{1}{125}, \frac{-1}{625}$ and $\frac{1}{3125}.$

Work Step by Step

To find the first five terms of $a_n = \frac{(-1)^{n-1}}{5^n}$, we must plug in $n=1, n=2, n=3, n=4$ and $n=5.$ Hence the first five terms are $\frac{1}{5}, \frac{-1}{25}, \frac{1}{125}, \frac{-1}{625}$ and $\frac{1}{3125}.$
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