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Pascal revisited (Posted on 2018-05-28) Difficulty: 2 of 5
To evaluate the square of any integer in column 2 - just add to its neighbor's value the 3rd integer in a row below it: e.g. 32=3+6; 102=45+55

Explain why it works!

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.0000 (1 votes)

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Solution Algebraic (spoiler) Comment 1 of 1
Its right-hand neighbor = C(n,2) = n(n-1)/2
The third integer in the row below = C(n+1,2) = n(n+1)/2

Their sum = ((n^2 - n) + (n^2 + n))/2 = n^2

  Posted by Steve Herman on 2018-05-28 18:35:52
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