Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 11 - Section 11.1 - Sequences - 11.1 Exercises - Page 704: 20

Answer

$a_n$={1.0000, 2.5000, 1.6667, 2.2500, 1.8000, 2.1667, 1.8571, 2.1250, 1.8889, 2.1000} The sequence converges to 2

Work Step by Step

Given: $a_n=2+\frac{{(-1)}^{n}}{n}$ By substituting the values 1 to 10 for n $a_n$={1.0000, 2.5000, 1.6667, 2.2500, 1.8000, 2.1667, 1.8571, 2.1250, 1.8889, 2.1000} By inspection, the sequence converges to 2
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