The king got bankrupt

Algebra Level 2

A king, overwhelmed by the game of chess, decided to give it's creator a handsome reward.

The inventor demanded that he wanted wheat grains for each of the boxes of the chessboard in the order- 1 for the first box, 2 for the second, 4 for the third, and so on, thus doubling the amount at each box.

What is the total no. of grains, he should recieve?

2 64 + 1 2^{64}+1 2 64 2^{64} 2 64 − 1 2^{64}-1 6 4 2 + 1 64^{2}+1 6 4 2 64^{2}

Dinesh Nath Goswami by Dinesh Nath Goswami , 20, India

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