Building a model out of legos the top level is a 1 by 2 rectangle level directly underneath is a 2by 3 rectangle the level underneath is a 3 by4 rectangle how many legos will be need to build a 12 level high

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(1 x 2) + (2 x 3) + (3 x 4) +... + (12 x 13) = 2 + 6 + 12 + 20 + 30 + 42 + 56 + 72 + 90 + 110 + 132 + 156 = 728 legos needed.