Math, asked by Rachana21, 1 year ago

using mathematical induction, show this ​

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Answered by rohitmallick198
1

As with structural induction, I’d like you to follow a fairly rigid format in

presenting proofs by weak mathematical induction. Here’s an example.

Claim: For all n ≥ 4, n! > 2

n

.

Proof by weak mathematical induction on n (n ≥ 4).

Basis: 4! = 24 > 16 = 24

.

Induction:

IH: n! > 2

n

NTS: (n + 1)! > 2

n+1

(n + 1)! = n! · (n + 1) (def of !)

          > 2n· (n + 1) (IH)

          > 2n· 2 (n ≥ 4)

          = 2n+1

Answered by adityayadav050pdeqb2
1

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