Question: Q5. (5 marks) Let z1 = x + yi where x, y E R and define Zm = Zm-1 + 2 + 1 for integers

Q5. (5 marks) Let z1 = x + yi where x, y E R and define Zm = Zm-1 + 2 + 1 for integers m > 2. Prove that z2n-1 = (x + 2n -2) + yi and z2n = (x + 2n -1) - (y + 1)i for all n E N

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