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(a) Use mathematical induction to prove that for all integers n > 6, 3 <n! Show all your work. (b) Let S be the subset of th

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Answer #1

③ we have to show 3n<n! & nao for n= 7 3 = 2187 < 71=5040 let it is true for n=k where k7 7 => 3* <*! 0 Now for n=kti 3k+1 =structural Induction: In general suppose that you have defined some set s by explicitly specifying some of its member and givI since 5 latba So, I an integer n such that ath=5n Now both (at2)+(673) and Car3) + (6+2) are equal to 6+6+5 and atb+5 = 5n1

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