Question
We number both the rows and the columns of an chess-board with the numbers to . A number of grains are placed onto each square, in such a way that the number of grains on a certain square equals the product of its row and column numbers. How many grains are there on the entire chessboard?
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Text solutionVerified
In the first column, we have, successively,
grains.
So, in the first column :
In the second column :
In the third column :
Finally, in the eighth column :
Since , there are grains on the board.
grains.
So, in the first column :
In the second column :
In the third column :
Finally, in the eighth column :
Since , there are grains on the board.
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Question Text | We number both the rows and the columns of an chess-board with the numbers to . A number of grains are placed onto each square, in such a way that the number of grains on a certain square equals the product of its row and column numbers. How many grains are there on the entire chessboard? |
Answer Type | Text solution:1 |
Upvotes | 150 |