SOLUTION: I have gotten the first answer, can you check to see if its right? I can't figure out B, Please help!! 4) CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a f

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Question 38771: I have gotten the first answer, can you check to see if its right? I can't figure out B, Please help!!


4) CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Crane came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Crane insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one grain of wheat on the first square. Then place two grains of wheat on the next square. Then place four grains on the third square. Continue this until all 64 squares are covered with grains of wheat.” As he had just harvested his wheat, Mr. Crane did not consider this much of an award, but he soon realized he made a miscalculation on the amount of wheat involved.
a) How much wheat would Mr. Crane have to put on the 24nd square?
Answer: t=8388608
Show work in this space.
t=a*r^(n-1)
t=1*2^(24-1)
t=1*2^(23)
t=8388608
b) How much total grain would the traveling salesman receive if the checkerboard only had 24 squares?
Answer:
Show work in this space.

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
b) How much total grain would the traveling salesman receive if the checkerboard only had 24 squares?
Use geometric series:
s+=+%28%28a%29%281-r%5E%28n%29%29%29%2F%281-r%29
s+=+%28%281-2%5E%2824%29%29%29%2F%281-2%29
s+=+%28-16777215%29%2F%28-1%29
16,777,215 grains