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: 6

Answer

4

Work Step by Step

4$\Sigma$k=1 $(-1)^{k}$ cos k$\pi$=$(-1)^{1}$ cos 1$\pi$ +$(-1)^{2}$ cos(2$\pi$)+$(-1)^{3}$ cos(3$\pi$)+$(-1)^{4}$ cos(4$\pi$) =-(-1)+1-1(-1)+1 =4
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