(a) Prove by mathematical induction that the following statement is true for every positive integer n. 1x2+3x4+5x6+ + (2n-1) × 2n = (b) Prove by mathematical induction that if n € N, then 1 1 1 1 1 + + + + 1.2 2.3 3.4 4.5 n(n + 1)(4n − 1) 3 Question 2A n(n + 1) = 1 Explanation of each step - Workings - 1 n+1 Question 2B Explanation of each step - Workings -

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