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If P (N) is the Statement "N(N + 1) is Even", Then What is P(3)?

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Question

If P (n) is the statement "n(n + 1) is even", then what is P(3)?

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Solution

We have:
P(n): n(n + 1) is even.
Now,
P(3) = 3(3 + 1) = 12       (Even)
Therefore, P(3) is even.

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Chapter 12: Mathematical Induction - Exercise 12.1 [Page 3]

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R.D. Sharma Mathematics [English] Class 11
Chapter 12 Mathematical Induction
Exercise 12.1 | Q 1 | Page 3

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