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Let P(n): n 2 +n+1 is an even integer. If P(k) is assumed true then P(k +1) is true. Therefore P(n) is true. a) For n>1 b) For all c) For n>2 d) None of these

      Let P(n): n2+n+1 is an even integer. If P(k) is assumed true then P(k +1) is true. Therefore P(n) is true.


a)      For n>1


b)      For all


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c)       For n>2


d)      None of these

Grade:11

1 Answers

Amit Saxena
35 Points
9 years ago

Ans:       d

Exp:       P(1) is not true (Principle of induction is not applicable). Also n(n+1) +1 is always an odd integer.

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