



 
(1) Look for a pattern: 2c (after one day), 4c (after 2 days)... (2) Write this as a formula: 2 to the power n after n days. (3) Try to compute this: 2^{365} Your calculator may return an error because the number is too big. Otherwise you get about 7.5 x 10^{109} c or $7.5x10^{107}, a number far too big to be meaningful as money. Let's explore this. Divide by $1000 to convert approximately to ounces of gold. 7.5x10^{104} oz or more than 10^{103} kilograms of gold. Now look up the mass of the observable universe on the Internet. Good Hunting!  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 