Prove that for any row of Pascal's Triangle if you alternately subtract and add terms you always get 0.

Note: this is obvious for odd rows [1-3+3-1=0]
but not so obvious for even rows [1-4+6-4+1=0]

(In reply to Also true for pascal-like tables(spoiler) by Steve Herman)

Very nice.

Posted by Ady TZIDON on 2011-12-09 10:03:53