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If P(n) stands for the statement n(n+1)...

`If P(n) stands for the statement n(n+1) (n+2) is divisible by 6, then what is p(3)?

Text Solution

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P(3) is 3(3+1) (3+2) is divisible by 6, i.e., "60 is divisible by 6".
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Knowledge Check

  • For each natural number the statement P(n) = n(n +1) (2n +1) is divisible by

    A
    6
    B
    8
    C
    10
    D
    4

  • Let P(n)=2^(3n)-7n-1 then P(n) is divisible by

    A
    63
    B
    36
    C
    49
    D
    25