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: 21

Answer

${a_n} =${0.5000, 1.2500, 0.8750, 1.0625, 0.9688, 1.0156, 0.9922, 1.0039, 0.9980, 1.0010} It converges to 1

Work Step by Step

Given: $a_n =1+{(-\frac{1}{2})}^{n} $ By substituting values from 1 to 10 for n in the given equation. ${a_n} =${0.5000, 1.2500, 0.8750, 1.0625, 0.9688, 1.0156, 0.9922, 1.0039, 0.9980, 1.0010} It appears that this does converge. It converges to 1
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