Question: Please do this question in 25 mins as i need help asap 3. [6 marks]. Let us write f(n) for the sum of the first

Please do this question in 25 mins as i need help asap

3. [6 marks]. Let us write f(n) for the sum of the first n multiples of four (4, 8, 12, 16..). Note the following facts about the function f: . Fact 1: f(0) = 0. . Fact 2: f(k + 1) = f(k) + 4(k + 1) for all natural numbers k. Using these facts as appropriate, give a careful proof by induction that f(n) = 2n(n + 1) for all natural numbers n

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