Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 11 - Sequences; Induction; the Binomial Theorem - Chapter Review - Review Exercises - Page 859: 2

Answer

$2, 1, 8/9, 1, 32/25$

Work Step by Step

We are given: $\{c_n\}=\dfrac{2^n}{n^2}$ In order to determine the remaining values, we will have to substitute $n=1, 2,3,4,5$ into the given sequence. Thus: $c_1=\dfrac{2^1}{1^2}=2 \\c_2=\dfrac{2^2}{2^2}=1 \\c_3=\dfrac{2^3}{3^2}=\dfrac{8}{9} \\c_4=\dfrac{2^4}{4^2}=1 \\c_5=\dfrac{2^5}{5^2}=\dfrac{32}{25}$
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