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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)?

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AI Generated Solution

To solve the problem, we need to evaluate the statement \( P(n) \) for \( n = 3 \). The statement \( P(n) \) is defined as \( n(n+1)(n+2) \) and we need to check if this expression is divisible by 6. ### Step-by-Step Solution: 1. **Substituting \( n = 3 \)**: \[ P(3) = 3(3+1)(3+2) \] ...
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Knowledge Check

  • Let P(n) be the statement n(n + 1) (n + 2) is an integral multiple of 12, then which of the following is not true?

    A
    (a) P(3)
    B
    (b) P(4)
    C
    (c) P(5)
    D
    (d) P(6)

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