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: 3

Answer

The first five terms are $\frac{2}{3}, \frac{4}{5}, \frac{8}{7}, \frac{16}{9}, \frac{32}{11}.$

Work Step by Step

To find the first five terms of the sequence $a_n = \frac{2^n}{2n + 1}$, we must plug in $n=1, n=2, n=3, n=4,$ and $n=5.$ Hence we see that the first five terms are $\frac{2}{3}, \frac{4}{5}, \frac{8}{7}, \frac{16}{9}, \frac{32}{11}.$
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