Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 8 - Sequences and Infinite Series - 8.1 An Overview - 8.1 Exercises: 76

Answer

a) First Four Terms: $-1, 1, -2,2$ b) Limit doesn't exist

Work Step by Step

$$\sum_{k=1}^{\infty} k(-1)^k$$ Part A) $a_1 = 1(-1)^1 = -1$ $a_2 = -1 + 2(-1)^2 = 1$ $a_3 = 1 + 3(-1)^3 = -2$ $a_4 = -2 + 4(-1)^4 = 2$ Part B) Limit doesn't exist because it's a divergent sequence.
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