Answer
59049
Work Step by Step
$a_{n}=a_{1}r^{n-1}$
$a_{3}=a_{1}r^{3-1}=a_{1}r^{2}=a_{1}\cdot 3^{2}=81$
$\implies a_{1}=\frac{81}{3^{2}}=9$
$a_{9}=a_{1}r^{9-1}=9\cdot 3^{8}=59049$
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 6 - Exponential Functions and Sequences - 6.6 - Geometric Sequences - Exercises - Page 338: 47
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