Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 11 - Sequences; Induction; the Binomial Theorem - Chapter Review - Review Exercises - Page 859: 4

Answer

$a_1=2 \\ a_2=0 \\ a_3=2 \\ a_4=0 \\ a_5=2$

Work Step by Step

We are given: $a_n=2-a_{n-1}$ and $a_1=2$ In order to determine the remaining values, we will have to substitute $n=2,3,4,5$ into the given sequence. $a_2=2-a_1=2-2=0 \\ a_3=2-a_2=2-0=2 \\ a_4=2-a_3=2-2=0 \\ a_5=2-a_4=2-0=2$
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