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 - 12.3 Geometric Sequences; Geometric Series - 12.3 Assess Your Understanding - Page 825: 85

Answer

$\approx \$21,879.11$

Work Step by Step

Let's use a geometric sequence $\{a_n\}$ to model the salary at the beginning of the $n$th year: $a_1=18,000$ $r=1+0.05=1.05$ Determine $a_5$ using the formula: $a_n=a_1r^{n-1}$ $n=5$ $a_5=18,000(1.05)^4\approx 21,879.11$
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