College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 8, Sequences and Series - Chapter 8 Review - Exercises: 9

Answer

$a_1=1$ $a_2=3$ $a_3=5$ $a_4=11$ $a_5=21$ $a_6=43$ $a_7=85$

Work Step by Step

We are given: $a_{n}=a_{n-1}+2a_{n-2}, a_1=1, a_2=3$ We evaluate: $a_1=1$ $a_2=3$ $a_3=a_2+2a_1=3+2*1=5$ $a_4=a_3+2a_2=5+2*3=11$ $a_5=a_4+2a_3=11+2*5=21$ $a_6=a_5+2a_4=21+2*11=43$ $a_7=a_6+2a_5=43+2*21=85$
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