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: 35

Answer

$a_1=2\\ a_2=5 \\a_3=8 \\a_4=11 \\ a_5=14$

Work Step by Step

We are given that $a_n=3+a_{n-1}$ 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. Thus: $a_2=3+a_1=3+2=5 \\a_3=3+a_2=3+5=8 \\a_4=3+a_3=3+8=11 \\ a_5=3+a_4=3+11=14$
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