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If P(n) : 2n lt n! , n in N , then P(n) ...

If P(n) `: 2n lt n! , n in N` , then P(n) is true for all `n gt= ………….. .`

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P (n) : 2^(n) gt n^(2) is true for n ge ........

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Knowledge Check

  • P(n) : 2^n gt n^2 , for n = ………it is true.

    A
    2
    B
    3
    C
    4
    D
    5

  • For P(n):2^n lt n! ……….. Is true

    A
    P(1)
    B
    P(2)
    C
    Any P(n) , `n in N`
    D
    P(4)

  • P(n):n^2 - n +41 , for n = ……, it is not prime number .

    A
    1
    B
    2
    C
    3
    D
    41

    • Similar Questions

    Explore conceptually related problems

    Let P(n) be statement and let P(k) rArr P(k+1) ,for some natural number k, then P(n) is true for all n in N

    P(n) : n (n+1) is even number then P(3) = .........

    P(n) : n (n+1) is even number then P(3) = .........

    P(n) : 2n + 1 , for n = …………it is not a prime number.

    P(n) : 4n + 1 , for n = ………….it is not a prime number

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