Answer
See below.
Work Step by Step
As we can see, $a_1=2,a_2=5$ and each term is the sum of the previous term and three times the term before the previous term. Thus, $a_n=3a_{n-2}+a_{n-1}$ is the recursive rule.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 12 Sequences and Series - 12.5 Use Recursive Rules with Sequences and Functions - 12.5 Exercises - Skill Practice - Page 831: 37
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