grains of rice

Algebra Level pending

A boy asks his friend to put grains of rice in an 8 x 8 standard chessboard. He said that the sum of grains in each square must form an arithmetic progression. So his friend put 3 grains of rice on the first square and 12 grains of rice on the fourth square. If he is to put grains of rice in all of the squares, how many grains of rice does he need?

Note: The figure is not drawn to scale.


The answer is 6240.

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