Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 5: Integrals - Section 5.2 - Sigma Notation and Limits of Finite Sums - Exercises 5.2 - Page 265: 15

Answer

$5\Sigma_{k=1} (-1)^{k+1} \frac{1}{k}$

Work Step by Step

- Put k=1 to 5 into $(-1)^{k+1} \frac{1}{k}$ from which we get the following Sigma Notation which is equal to 1-$\frac{1}{2}$+$\frac{1}{3}$+$\frac{1}{4}$+$\frac{1}{5}$ -- $5\Sigma_{k=1} (-1)^{k+1} \frac{1}{k}$=1-$\frac{1}{2}$+$\frac{1}{3}$-$\frac{1}{4}$+$\frac{1}{5}$
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