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You can derive this result pretty easily using basic knowledge of sequences and the general form of a quadratic sequence: Tn=an2+bn+c.

The result for the sequecne of triangular numbers is Tn=0.5n2+0.5n which can also be written as Tn=0.5(n2+n) or Tn=(n2+n)/2

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Q: What is the function for triangular numbers?
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