marbles. For example, bowling pins are arranged in a triangle of 4 on
a side and there are t4 = 4 X 5/2 = 10 pins.
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Numbers of the form tn = n (n+1) / 2 are called triangular numbers, because marbles arranged in an equilateral triangle, n on a side, will total... (see attachment)
Proof of triangular numbers by induction