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- Wheat_and_chessboard_problem abstract "The wheat and chessboard problem (the problem is sometimes expressed in terms of rice instead of wheat) is a mathematical problem in the form of a word problem: If a chessboard were to have wheat placed upon each square such that one grain were placed on the first square, two on the second, four on the third, and so on (doubling the number of grains on each subsequent square), how many grains of wheat would be on the chessboard at the finish?The problem may be solved using simple addition. With 64 squares on a chessboard, if the number of grains doubles on successive squares, then the sum of grains on all 64 squares is: 1 + 2 + 4 + 8... and so forth for the 64 squares. The total number of grains equals 18,446,744,073,709,551,615, which is a much higher number than most people intuitively expect.The exercise of working through this problem may be used to explain and demonstrate exponents and the quick growth of exponential and geometric sequences. It can also be used to illustrate sigma notation.When expressed as exponents, the geometric series is: 20 + 21 + 22 + 23... and so forth up to 263. The base of each exponentiation, "2", expresses the doubling at each square, while the exponents represent the position of each square (0 for the first square, 1 for the second, etc.).".
- Wheat_and_chessboard_problem wikiPageExternalLink GP11Fable.html.
- Wheat_and_chessboard_problem wikiPageExternalLink salt.htm.
- Wheat_and_chessboard_problem wikiPageID "6888412".
- Wheat_and_chessboard_problem wikiPageRevisionID "600952182".
- Wheat_and_chessboard_problem hasPhotoCollection Wheat_and_chessboard_problem.
- Wheat_and_chessboard_problem title "Wheat and Chessboard Problem".
- Wheat_and_chessboard_problem urlname "WheatandChessboardProblem".
- Wheat_and_chessboard_problem subject Category:Exponentials.
- Wheat_and_chessboard_problem subject Category:Mathematical_chess_problems.
- Wheat_and_chessboard_problem subject Category:Technology_strategy.
- Wheat_and_chessboard_problem comment "The wheat and chessboard problem (the problem is sometimes expressed in terms of rice instead of wheat) is a mathematical problem in the form of a word problem: If a chessboard were to have wheat placed upon each square such that one grain were placed on the first square, two on the second, four on the third, and so on (doubling the number of grains on each subsequent square), how many grains of wheat would be on the chessboard at the finish?The problem may be solved using simple addition.".
- Wheat_and_chessboard_problem label "Problema del trigo y del tablero de ajedrez".
- Wheat_and_chessboard_problem label "Wheat and chessboard problem".
- Wheat_and_chessboard_problem label "Задача о зёрнах на шахматной доске".
- Wheat_and_chessboard_problem sameAs Problema_del_trigo_y_del_tablero_de_ajedrez.
- Wheat_and_chessboard_problem sameAs m.0gvdtf.
- Wheat_and_chessboard_problem sameAs Q2061792.
- Wheat_and_chessboard_problem sameAs Q2061792.
- Wheat_and_chessboard_problem wasDerivedFrom Wheat_and_chessboard_problem?oldid=600952182.
- Wheat_and_chessboard_problem isPrimaryTopicOf Wheat_and_chessboard_problem.