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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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The expert uses recurrence relations in algebra.

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

.25n + m = 3.25

If we multiply this by 100, we ...

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  • BSc, University of Bucharest
  • MSc, Ovidius
  • MSc, Stony Brook
  • PhD (IP), Stony Brook
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