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: 42

Answer

$a_1=-2$ $a_2=-4$ $a_3=-9$ $a_4=-23$ $a_5=-64$

Work Step by Step

If $a_n=n+3a_{n-1}$ and $a_1=-2$, then $a_2=2+3a_{1}=2+3(-2)=-4$ $a_3=3+3a_{2}=3+3(-4)=-9$ $a_4=4+3a_{3}=4+3(-9)=-23$ $a_5=5+3a_{4}=5+3(-23)=-64$
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