Answer
$n=11$
Work Step by Step
$a_n=2(3)^n-24$ when $a_n=354270$
$2(3)^n-24=354270$
$\implies 2(3)^n=354294$
$\implies (3)^n=177147$
$\implies n=\log_3{177147}=11$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
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 - Page 727: 19
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