Wednesday, December 14, 2011

A molecule is in the shape of a pyramid with 1 atom in the 1st layer, 3 in the 2nd layer, 6 in the 3rd and so?

on. The number of atoms in level n is the nth triangular number. How many atoms are in the molecule if it is 1 billion levels deep? Please write out the full number using only the 10 digits, no signs.

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