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: 46

Answer

$a_1=A$ $a_2=rA$ $a_3=r^2A$ $a_4=r^3A$ $a_5=r^4A$

Work Step by Step

If $a_n=ra_{n-1}$ and $a_1=A$, then $a_2=ra_{1}=rA$ $a_3=ra_{2}=r(rA)=r^2A$ $a_4=ra_{3}=(r^2A)=r^3A$ $a_5=ra_{4}=r(r^3A)=r^4A$
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