n! n! (r+2)! (n − r − 2)! (r+2)! (n−r−2)! + n! (r+1)! (n −r − 1)! (r + 2) n+1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 6E
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Prove the attached expression

n!
(r+2)!(n-r-2)!
n!
(r+2)!(n-r−2)!
+
n!
(r+1)!(n-r-1)!
(r+2)
n+1
Transcribed Image Text:n! (r+2)!(n-r-2)! n! (r+2)!(n-r−2)! + n! (r+1)!(n-r-1)! (r+2) n+1
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