Question 68836
a) How much wheat would Mr. Crane have to put on the 24th square?
Answer: @^24 grains.  (Use your calculator to get this answer.)
Show work in this space. 

---------------------

b) How much total grain would the traveling salesman receive if the checkerboard only had 24 squares?
Answer: 
Show work in this space.
S(24)= 1+2+2^2+2^3+...+2^24
This is a geometri series.  r=2, n=24
S(24)=[ r^(n+1)-1]/[r-1]
=[2^25-1]/[1]
=33,554,431 grains

------------------




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.
S(64) = [2^(65)-1]/[2-1] 
=3.689348815 X 10^19 grains

-------------
Cheers,
Stan H.