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: 24

Answer

$3,\dfrac{9}{2},9,\dfrac{81}{4},\dfrac{243}{5}$

Work Step by Step

We are given the sequence: $\{a_n\}=\left\{\dfrac{3^n}{n}\right\}$ Determine the first 5 terms of the sequence by substituting 1, 2, 3, 4, 5 for $n$: $a_1=\dfrac{3^1}{1}=\dfrac{3}{1}=3$ $a_2=\dfrac{3^2}{2}=\dfrac{9}{2}$ $a_3=\dfrac{3^3}{3}=\dfrac{27}{3}=9$ $a_4=\dfrac{3^4}{4}=\dfrac{81}{4}$ $a_5=\dfrac{3^5}{5}=\dfrac{243}{5}$
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