How much wheat would Mr. Crane have to put on the 24nd square?

Question

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

Next--How much total grain would the traveling salesman receive if the checkerboard only had 24 squares? Finally--Calculate the amount of wheat necessary to fill 64 Squares

Answer 1

well lets see 1
+2
-----
3

3
+3
-----
6

Screw you i don't know....................waaaaaaaaaaaaa Ive got a head ache............ Somebody make her stop.please

Answer 2

Ok...there are a couple of ways to do this.
The most logical is just to start adding.
1st square...1 grain
2nd...2 grains
3rd...4 grains
4th...8 grains
5th...16 grains
6th...32
7th.. 64
8th...128
9th...256
10th...512
11th...1024
12th...2048
-----
24th...8,388,608
----
64th...9,223,372,036,854,780,000

For a grand (and bank-breaking) total of...
18,446,744,073,709,600,001

A second, and much simpler, way to do this.
Each square has 2^(n-1) grains, where n is the number of the square. Therefore, the total board has 2^64 grains, or 2 to the 64th power, or 2*2*2*2*2...64 times, plus the original 1 grain. If you had stopped at the 24th square, you would have had 2^24 grains, plus the 1, for a total of 16,777,215

Hope this all helps.

Answer 3

Answer is:
On the 24th square: 2^23. That is 2 multiplied 23 times.
Similarly for 64th square 2^63. That is 2 multiplied 63 times.


This is a Geometric Progression whose nth term is calculated by the formula (a*r)^(n-1)

Answer 4

Under the Wagon?

A farm boy accidentally overturned his wagonload of wheat on the road. The farmer that lived nearby came to investigate.

"Hey, Willis," he called out, "forget your troubles for a while and come and have dinner with us. Then I'll help you overturn the wagon."

"That's very nice of you," Willis answered, "but I don't think Dad would like me to."

"Aw, come on, son!" the farmer insisted.

"Well, OK," the boy finally agreed, "but Dad won't like it."

After a hearty dinner, Willis thanked the host. "I feel a lot better now, but I know Dad's going to be real upset."

"Don't be silly!" said the neighbor. "By the way, where is he?"

"Under the wagon," replied Willis

Answer 5

24 squares-300

64 squares-2080

Answer 6

Did you figure this out? if you did you are very smart and intellegent