According to legend, the inventor of the game of chess requested payment as follows: My request is a modest one. I humbly request one grain of rice on the first square of the chess board, two grains on the second square, four grains on the third square, and so on. Each square represents twice as many grains as the previous one. The king agreed immediately. Part a: Write an expression for the number of grains on square n of the chess board. Part b: How many grains of rice are to be placed on the 20th square? Part c: There are 64 squares on a chess board; do you think the king was able to fulfill the request? Explain.
According to legend, the inventor of the game of chess requested payment as follows: My request is a modest one. I humbly request one grain of rice on the first square of the chess board, two grains on the second square, four grains on the third square, and so on. Each square represents twice as many grains as the previous one. The king agreed immediately. Part a: Write an expression for the number of grains on square n of the chess board. Part b: How many grains of rice are to be placed on the 20th square? Part c: There are 64 squares on a chess board; do you think the king was able to fulfill the request? Explain.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.7: A Problem Solving Plan
Problem 10P
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According to legend, the inventor of the game of chess requested payment as follows:
My request is a modest one. I humbly request one grain of rice on the first square of the chess board, two grains on the second square, four grains on the third square, and so on. Each square represents twice as many grains as the previous one.
The king agreed immediately.
Part a: Write an expression for the number of grains on square n of the chess board.
Part b: How many grains of rice are to be placed on the 20th
square?
Part c: There are 64 squares on a chess board; do you think the king was able to fulfill the request? Explain.
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