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 244: 76

Answer

$=\frac{n(n+1)}{2}$

Work Step by Step

$=\frac{(n+1)!}{(n-1)!(n+1-n+1)!}$ $=\frac{(n+1)!}{(n-1)!2!}$ $=\frac{(n-1)!n(n+1)}{(n-1)!2!}$ $=\frac{n(n+1)}{2!}$ $=\frac{n(n+1)}{2}$
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