Grains of rice on a chess board
Hi, firstly apologies if this is not the correct section.
At work today I was told that if you took a chess board (with 64 squares) and you were to place 1 grain of rice on the 1st square, 2 on the second square, 4 on the 3rd square, 8 on the 4th and so on doubling the grains of rice on each successive square compared to the previous square - that there would not be enough grains of rice in the world to do this.
Whilst im skeptical that there would not be enough rice in the world to do this...
how many grains of rice would be on the 64th square?, and
what would the formula be for working this out?
I guess I could work this out just by doubling 1 then 2 then 3 etc, but Id rather learn something new, so if there is a formula could someone explain it aswell.
As you can probably guess Im not the sharpest when it comes to maths, so thanks for your time and help.