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6. Use induction to show that for all positive integers n (a) 13 + 23 + 33 + + n3 = (n(n + 1)/2)2. (b)

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6. Use induction to show that for all positive integers n (a) 13 + 23 + 33 + + n3 = (n(n + 1)/2)2. (b) 1.1! + 2 2!+ +n:n! = (n + 1)! - 1 (c) if n > 6, then 31

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