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Consecutive Triangles (Posted on 2009-11-29) Difficulty: 4 of 5
A, B, C and D are triangular numbers.

A, B and C are always consecutive while D is their sum.

Determine (and explain as best as possible1) how such sets of values are distributed across the number system.

1. This can be explained in terms of a single variable expression.

See The Solution Submitted by brianjn    
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re: a 6.4 second question | Comment 2 of 8 |
(In reply to a 6.4 second question by Ady TZIDON)

Pardon, I realise that this just one example but the crux of the problem is to:

 " Determine how such sets of values are distributed across the number system."

(The next set would be 36+45+55=136)

Edited on November 29, 2009, 7:01 pm
  Posted by brianjn on 2009-11-29 18:12:09

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