Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 12 - Sequences; Induction; the Binomial Theorem - 12.1 Sequences - 12.1 Assess Your Understanding - Page 807: 26



Work Step by Step

We are given the sequence: $\{c_n\}=\left\{\dfrac{n^2}{2^n}\right\}$ Determine the first 5 terms of the sequence by substituting 1, 2, 3, 4, 5 for $n$: $a_1=\dfrac{1^2}{2^1}=\dfrac{1}{2}$ $a_2=\dfrac{2^2}{2^2}=1$ $a_3=\dfrac{3^2}{2^3}=\dfrac{9}{8}$ $a_4=\dfrac{4^2}{2^4}=1$ $a_5=\dfrac{5^2}{2^5}=\dfrac{25}{32}$
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