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: 57

Answer

$\sum_{j=0}^{n-2}\frac{j+1}{(n-j-1)^2}$

Work Step by Step

1. Let $j=i-1$, we have $i=j+1$ and when $i=n-1$, we have $j=n-2$ 2. We can rewrite the original expression as $\sum_{j=0}^{n-2}\frac{j+1}{(n-j-1)^2}$
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