Determining discrete math-induction

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A flagpole is n feet tall. On this flag pole we display flags of the following types: red flags that are 1 foot tall, blue flags that are 2 feet tall and green flags that are 2 feet tall. The sum of the heights is exactly n feet.

Prove that there are exactly [(2/3)*(2^n)] + [(1/3)*(-1)^n] ways to display the flags.

Reference no: EM13131312

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