Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 5 - Sequences, Mathematical Induction, and Recursion - Exercise Set 5.1 - Page 243: 46

Answer

$\sum_{k=1}^{5}(-1)^{k-1}\frac{k+1}{(k+2)(k+3)}$

Work Step by Step

1. We can represent the alternating signs using $(-1)^{k-1}$ 2. We can express the original summation as: $\sum_{k=1}^{5}(-1)^{k-1}\frac{k+1}{(k+2)(k+3)}$
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