Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 9 - Conic Sections, Sequences, and Series - 9.3 Arithmetic Sequences - 9.3 Exercises: 22

Answer

$n=16$

Work Step by Step

$a_n=-\frac{5n}{n+8}$ when $a_n=-\frac{10}{3}$ $-\frac{5n}{n+8}=-\frac{10}{3}$ $\implies -\frac{15n}{n+8}=-10$ $\implies -15n=-10(n+8)$ $\implies -15n=-10n-80$ $\implies 15n=10n+80$ $\implies 5n=80$ $\implies n=16$
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