Question: I. Use mathematical induction, a basis proof, a inductive hypothesis and step to solve: n N, n i=1 i!(i 2 + 1) = (n +

I. Use mathematical induction, a basis proof, a inductive hypothesis and step to solve:

n N, n i=1 i!(i2 + 1) = (n + 1)!n.

II. Give a recursive definition for the set of all strings of 0's and 1's for which all the 0s follow all the 1s.

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