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  • Perplex
    IB Math AISL
    /
    Sequences & Series
    /

    Problem Bank

    [Maximum mark: 6]

    A king tells Sissa to pick his prize for inventing the game of chess. Sissa asks for ​1​ grain of rice on the first square on the board, ​2​ grains of rice on the second square, ​4​ grains of rice on the third square, and so on for every square on the ​8×8​ board.


    The king laughs at him for picking a small reward for such a brilliant game.

    1. Write an expression for the number of grains of rice on the ​nth​ square of the board.

      [2]

      To earn a crown, get your answer ready before you reveal the options!

    2. Determine how many grains of rice Sissa asked for in total. Give your answer in the form ​c×10k, where ​1≤c<10​ and ​k∈Z.

      [2]

    ​6796​ grains of rice costs ​$1, and a kilogram of gold costs ​$110,365.64.

    1. Find the mass of gold whose value equals that of the rice requested by Sissa.

      [2]

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