Q3 of 27 Page 4

Let P(n): n(n+1) (n+2) is divisible by 3. What is P(3)?

Consider n(n+1) (n+2),


P (3) = 3(3+1)(3+2)


= 3(4)(5)


= 60


Which is divisible by 3.


Hence P (3) is 60.


More from this chapter

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1

Let P(n) = n2 + n is even. Is P(1) true?

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Write the set of value of n for which the statement P(n): 2n<n! is true.

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Let P(n): n2 >9. Is P (2) true?

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If P(n) is the statement “n (n + 1) is even”, then what is P(4)?