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If P(n) is the statement n^2-n+41 is pri...

If `P(n)` is the statement `n^2-n+41` is prime. Prove that `P(1),\ P(2)a n d\ P(3)` are true. Prove also that `P(41)` is not true.

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RD SHARMA ENGLISH-MATHEMATICAL INDUCTION-All Questions
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  2. Given an example of a statement P(n) such that it is true of all n ϵN.

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  11. Prove the following by the principle of mathematical induction: 1+2...

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  12. Prove the following by the principle of mathematical induction: 1^2...

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