Question

Take a chessboard and put one grain on the first square, two on the second, four on the third, and so on (doubling the number of grains on each subsequent square). how many lbs of grains of rice would be on the chessboard at the end? assume there are 20,000 grains in a pound of rice.

Answer 1

The total number of grains of rice on the chessboard at the end is 18,446,744,073,709,551,615 grains, which is equivalent to 922,337,203,685,477 pounds of rice.

Step-by-step explanation:

To calculate the total number of grains of rice on the chessboard, we need to sum up the number of grains on each square.

The number of grains doubles with each square, so we can use the formula 2^n, where n represents the square number.

Since there are 64 squares on a chessboard, we need to calculate 2 to the power of 1 to 64.

Using this formula, the total number of grains on the chessboard is 2^64 - 1 = 18,446,744,073,709,551,615 grains.

Assuming there are 20,000 grains in a pound of rice, we can convert the number of grains to pounds by dividing it by 20,000.

So, 18,446,744,073,709,551,615 grains is equivalent to 922,337,203,685,477 pounds of rice.