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2. Find a formula for 1 3+5 7+ +(4n 3) (4n 1), and prove that it is correct, for all n > 1. (The formula

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2. Find a formula for 1 3+5 7+ +(4n 3) (4n 1), and prove that it is correct, for all n > 1. (The formula has to be a "closed-form formula". In other words, it cannot have a sum of arbitrarily many terms in it. For example, the formula you find cannot be the same formula as in the question.)

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