Answer
Proof, See work below
Work Step by Step
Verify that $\frac{(n+1)!}{(n-2)!} =(n+1)(n)(n-1)$
Simplify the factorials
$\frac{(n+1)(n)(n-1)(n-2)!}{(n-2)!} $
$(n+1)(n)(n-1)$
The formula is verified
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 9 - Infinite Series - 9.6 Exercises - Page 633: 1
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