Question: Please please solve it fast!!! 6. (4 + 5 pts) (a) Use mathematical induction to prove that for all integers n 2 0, n2 +n

Please please solve it fast!!!

6. (4 + 5 pts) (a) Use mathematical induction to prove that for all integers n 2 0, n2 +n is divisible by 2, that is 2 | n2 + n. Show all your work. (b) Let S be the subset of the set of integers defined recursively by: Basis Step: 1 ES, Recursive Step: (s + t) E S, whenever s E S and t E S. Use structural induction to prove that S = Z+. Show all your work

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