Story of Rice on Chessboard : - Exponential Doubling
- Lew W.S.
Read the story of the wise man who when his ruler granted him a reward, asked for rice to fill a chessboard, doubling the amount at every next square from the first square with one grain of rice.
How many grains of rice would be needed to fulfil the request of the wise man, if starting from the first chessboard square on the bottom left, 1 grain of rice is put there, and in the next square, it is doubled (multiply by 2) and then again doubled (multiply by 2) in the next square, and repeatedly on every square from left to right up the chessboard until the 64th square at the top right corner of the chessboard? (Note : the answer provided by Geogebra can only be correct up to the 57th square)