Question: Section D [12 marks] (a) Use mathematical induction to prove that 1x22+2x32+3x42 + ... + n(n+1) = n(n+1)(n+2)(3n+5)/12 whenever n is a positive integer.

Section D [12 marks] (a) Use mathematical induction to prove that 1x22+2x32+3x42 + ... + n(n+1) = n(n+1)(n+2)(3n+5)/12 whenever n is a positive integer. (b) Page 351 No. 12 [5 marks] [7 marks]

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