(a) Prove that for all n = N, n(n + 1) : n(n+1)(n+2) = 3 (n...

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(a) Prove that for all n = N, n(n + 1) : n(n+1)(n+2) = 3 (n 1)(n)(n + 1) 3 (b) Let n N. Using part (a), the properties of summation notation and without using induction, prove that i(i + 1) = i=1 n(n + 1)(n+2) 3 (Your proof should not make use of essentially hidden induction.) 66 " or phrases like "continue this process" as this is (a) Prove that for all n = N, n(n + 1) : n(n+1)(n+2) = 3 (n 1)(n)(n + 1) 3 (b) Let n N. Using part (a), the properties of summation notation and without using induction, prove that i(i + 1) = i=1 n(n + 1)(n+2) 3 (Your proof should not make use of essentially hidden induction.) 66 " or phrases like "continue this process" as this is