Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-8 Geometric Sequences - Lesson Check - Page 470: 6


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Work Step by Step

The starting value $a_1$ is $162$. The common ratio $r$ is $\frac{108}{162}=\frac{2}{3}$. The recursive formula is: $a_1=162; a_n=a_{n-1}.\frac{2}{3}$ The explicit formula is: $a_n=162.(\frac{2}{3})^{n-1}$
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