College Algebra 7th Edition

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

Chapter 8, Sequences and Series - Section 8.1 - Sequences and Summation Notation - 8.1 Exercises: 37

Answer

$a_{n}=1+(-1)^{n}$

Work Step by Step

We are given: $0, 2, 0, 2, 0, 2$ ... We notice that the terms alternate between $0$ and $2$. We find the patern: $a_{1}=1-1$ $a_{2}=1+1$ $a_{3}=1-1$ $a_{4}=1+1$ $a_{5}=1-1$ Therefore: $a_{n}=1+(-1)^{n}$
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