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: 11

Answer

$a_{1}=0$ $a_{2}=2$ $a_{3}=0$ $a_{4}=2$ $a_{100}=2$

Work Step by Step

We are given: $a_{n}=1+(-1)^{n}$ We evaluate: $a_{1}=1+(-1)^{1}=1-1=0$ $a_{2}=1+(-1)^{2}=1+1=2$ $a_{3}=1+(-1)^{3}=1-1=0$ $a_{4}=1+(-1)^{4}=1+1=2$ $a_{100}=1+(-1)^{100}=1+1=2$
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