Question: Find an explicit formula for f (n) if f (1) = 1 and f (n) = f (n 1) + 2n 1 for

Find an explicit formula for f (n) if f (1) = 1 and f (n) = f (n − 1) + 2n − 1 for n ≥ 2. Prove your result using mathematical induction.

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