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  • Perplex
    IB Math AIHL
    /
    Sequences & Series
    /

    Problem Bank

    [Maximum mark: 6]

    Ella invests ​$500​ in a savings account that earns ​4%​ interest per annum, compounded quarterly.

    1. Find an expression for the balance of Ella's savings after ​n​ years.

      [2]
    2. Calculate the value of Ella's savings after ​12​ years. Give your answer to the nearest dollar.

      [2]

    Ella wants to purchase a racing bike for ​$700.

    1. Find the number of years after which her savings will be sufficient to purchase the bike.

      [2]

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