Question 39196
a) How much wheat would Mr. Brown have to put on the 24nd square?
Answer: 
Show work in this space. 
1st square gets 2^0=1 grain
2nd square gets 2^1=2 grains
24th square gets 2^23 grains


b) How much total grain would the traveling salesman receive if the checkerboard only had 24 squares?
Answer: 
Show work in this space. 
2^0+2^1+2^2+ .....+2^23
This is a geometric series with r=2 and n=24
The sum of the series is S(24)=[2^24-1]/[2-1]= 16777215



c) Calculate the amount of wheat necessary to fill the whole checkerboard (64 squares). How much wheat would the farmer need to give the salesman? Please provide the answer in either scientific notation, or calculate and show all 20 digits.
Answer: 

S(64)=[2^64-1]/[2-1]=1.84467441X10^19

Cheers,
Stan H.