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    Using the Recurrence Relation in algebra

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    Bob deposits quarters and dollar bills into a vending machine to buy snacks. Find a recurrence relation for the number of ways he can deposit 25*n cents into the machine if the order matters. State the recurrence relation and the initial conditions. Then use your recurrence relation to find the number of ways Bob can deposit $3.25.

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    Solution Preview

    Let n= # quarters
    m= # dollar bills
    Then we have the recurrence formula:

    .25n + m = 3.25

    If we multiply this by 100, we ...

    Solution Summary

    The expert uses recurrence relations in algebra.