UNO High School Problem of the Week Competition

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Problem 20



Suppose that you have n dollars to spend on music. Songs either cost 1 dollar or 2 dollars, depending on their release date. How many ways are there to spend n dollars on music? Express your answer as a simple function of n.

Example: For n = 3

You can buy: 3 one dollar songs or
1 two dollar song and 1 one dollar song
= 2 different ways to spend three dollars

Solution