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Diagonal triangle sums (Posted on 2004-03-15) Difficulty: 3 of 5
Consider the famous Pascal triangle, purposefully drawn in a somewhat lopsided way:


1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
......................

Start at any number, and draw a line at 45 degrees, from bottom left to top right. (For example, if you chose the first "4" of the fifth row, the diagonal would also include a "1" and a "3")

How much do the numbers in such a line sum? Why? Can you prove it?

See The Solution Submitted by Federico Kereki    
Rating: 3.8571 (7 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionA Different PresentationRichard2004-03-15 19:16:27
Some Thoughtsre: solutione.g.2004-03-15 14:22:39
SolutionsolutionCharlie2004-03-15 14:11:08
SolutionNo Proof, thoughnikki2004-03-15 13:42:58
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