If you were to take a chess regular chessboard, and place one grain of rice on the first square, two on the second, four on the third and so on, you would end up with **18,446,744,073,709,551,615** grains of rice – that’s a huge amount of rice! If you were to take each grain and line them up next to each other, you could travel approximately 15 light years.

A modern version, if you like, of the rice and chessboard legend. It goes like this.

You are offered a job, which lasts for 7 weeks. You get to choose your salary.

Either, you get $100 for the first day, $200 for the second day, $300 for the third day. Each day you are paid $100 more than the day before.

Or, you get 1 cent for the first day, 2 cents for the second day, 4 cents for the third day. Each day you are paid double what you were paid the day before.

### Which do you choose?

Most people unfamiliar with this kind of dilemma will choose the first option.

For the first choice, the person earns $2800 in week 1, then $7700, $12600, $17500, $22400, $27300 then $32200, for a grand total of $122,500

For the doubling scheme, the person earns $1.27 in week 1, then $162.56, $20807.68, $2,663,383.04, $340,913,029.12, $43,636,867,727.36 then $5,585,519,069,102.08 for a total of $5,629,499,534,213.11.