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That's the Triangular Number sequence: the sequence of sums of the numbers 1 to n, with n representing the position in the sequence.

It can be expressed in mathematical notation in two ways.

First, in strict algebra, T(n) = (n^2 + n)/2

Then, as a binomial coefficient: (n + 1) C 2

(Sorry, but formatting options are limited here.)

You can find out more about the Triangular Numbers by looking up A000217 in the Online Encyclopedia of Integer Sequences or by studying the "Handshake Problem".

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15y ago

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