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Let P(n) be a statement and let P(n) Rig...

Let P(n) be a statement and let P(n) `Rightarrow` P(n+1) for all natural number n, then P(n) is true.

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CBSE COMPLEMENTARY MATERIAL-PRINCIPAL OF MATHEMATICAL INDUCTION -Short Answer Type Questions
  1. Let P(n) be a statement and let P(n) Rightarrow P(n+1) for all natural...

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  2. Give an example of a statement P(n) such that P(3) is true, but P(4) i...

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  3. If P(n) :1+4+7…….+(3n-2)=(1)/(2)n(3n-1).Verify P(n) for n =1,2.

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  4. If P(n) is the statement n^2-n+41 is prime. Prove that P(1),\ P(2)a n ...

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  5. Prove the following by using the Principle of mathematical induction A...

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  6. Prove the following by using the Principle of mathematical induction A...

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  7. Prove the following by the principle of mathematical induction: a+(...

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  8. Prove the following by the principle of mathematical induction: 7+7...

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  9. sin x+sin 2x + sin 3x+...+ sin nx =(sin((n+1)/2)xsin(nx)/2)/sin(x/2)

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  10. Using principle of mathematical induction prove that cosalpha\ cos2...

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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 using the Principle of mathematical induction A...

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  13. Prove the following by using the Principle of mathematical induction A...

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  14. Prove the following by using the Principle of mathematical induction A...

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  15. Prove the following by using the Principle of mathematical induction A...

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  16. 1 1^(n+2)+1 2^(2n+1) is divisible by 133.

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  17. Using the principle of mathematical induction. Prove that (x^(n)-y^(n...

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  18. Prove the following by using the Principle of mathematical induction A...

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  19. 7^(2n) + 2^(3n-3).3^(n-1) is divisible by 25

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  20. Prove the following by using the Principle of mathematical induction A...

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  21. Prove the following by using the Principle of mathematical induction A...

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