Question 53479
a) How much money expressed in dollars would Mr. Brown have to put on the 32nd square?
Answer: 
Show work in this space 
The square must hold 2^31 pennies which is $21,474,836.48


b) How much money expressed in dollars would the traveling salesman receive in total if the checkerboard only had 32 squares?
Answer: 
Show work in this space 
2^0+2^1+2^2+...+2^32
S=a[r^33-1]/[r-1] where a=2^0 and r=2
S=1[2^33-1]/1= 2^33=1 = $85,899,345.91

c) Calculate the amount of money necessary to fill the whole checkerboard (64 squares). How money expressed in dollars would the farmer need to give the salesman?
Answer: S=[2^65-1]=$(3.689348815...x 10^17)
Cheers,
Stan H.