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 - Page 600: 5


$a_1=\frac{1}{3}$ $a_2=\frac{1}{5}$ $a_3=\frac{1}{7}$ $a_4=\frac{1}{9}$ $a_{100}=\frac{1}{201}$

Work Step by Step

We are given: $a_{n}= \frac{1}{2n+1}$ We evaluate: $a_1=\frac{1}{2(1)+1}=\frac{1}{3}$ $a_2=\frac{1}{2(2)+1}=\frac{1}{5}$ $a_3=\frac{1}{2(3)+1}=\frac{1}{7}$ $a_4=\frac{1}{2(4)+1}=\frac{1}{9}$ $a_{100}= \frac{1}{2(100)+1}=\frac{1}{201}$
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