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 - 9.4 Geometric Sequences - 9.4 Exercises: 2

Answer

Geometric $r=2.5$

Work Step by Step

$4, 10, 25, 62.5, 156.25, 390.625, . . .$ $\frac{a_2}{a_1}=\frac{10}{4}=2.5=r$ $ra_2=25=a_3$ $ra_3=62.5=a_4$ $ra_4=156.25=a_5$ and so on. The sequence is geometric with common ratio $r=2.5$.
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