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Prove each of the statements by the prin...

Prove each of the statements by the principle of mathematical induction :
`n^3 -n` is divisible by 6, for each natural number `n gt=2. AA n gt= 2`

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KUMAR PRAKASHAN-PRINCIPLE OF MATHEMATICAL INDUCTION-NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)
  1. Give an example of a statement P(n) which is for all n gt=4 but P(1) ,...

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  2. Give an example of a statement P(n) which is true for all n , justify...

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  3. Prove the statement by the principle of mathematical induction : 4^...

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  4. Prove the statement by the principle of mathematical induction : 2^...

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  5. Prove the statement by the principle of mathematical induction : n^...

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  6. Prove the statement by the principle of mathematical induction : 3^...

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  7. Prove the statement by the principle of mathematical induction : Fo...

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  8. Prove the statement by the principle of mathematical induction : Fo...

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  9. Prove each of the statements by the principle of mathematical inductio...

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  10. Prove each of the statements by the principle of mathematical inductio...

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  11. Prove each of the statements by the principle of mathematical inductio...

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  12. Prove each of the statements by the principle of mathematical inductio...

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  13. Prove each of the statements by the principle of mathematical inductio...

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  14. Prove each of the statements by the principle of mathematical inductio...

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  15. Prove each of the statements by the principle of mathematical inductio...

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  16. Prove each of the statements by the principle of mathematical inductio...

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