binomial factorials

[skonk]

I need to prove that:

(K+1)! + (K+1)(K+1)! -1 = ((K+1) + 1)! - 1

by transforming the left side into the same form as the right.

I know that (K+1)! = (K+1) x K! but I'm still getting nowhere.

Thanks for the help.

 

[skeeter]

(K+1)! + (K+1)(K+1)! -1 =

(K+1)![1 + (K+1)] - 1 =

(K+1)!(K+2) - 1 =

(K+2)! - 1 =

[(K+1) + 1]! - 1

 

[skonk]

Wow!

Thanks for the quick response, I see what I was missing