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 - Section 11.1 Sequences - 11.1 Assess Your Understanding - Page 827: 38

Answer

$a_1=1 \\a_2=1 \\ a_3=2 \\ a_4=2 \\ a_5=3$

Work Step by Step

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