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Prove the following by using the princip...

Prove the following by using the principle of mathematical induction for all `n in N`:`(1+1/1)(1+1/2)(1+1/3)...(1+1/n)=(n+1)`

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Let `P (n)` be the given statement.
i.e.,` P (n) : (1 + 1/1)(1 + 1/2)(1 + 1/3) .... (1 + 1/n) = (n + 1)`
For `n = 1,`
...
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NCERT-PRINCIPLE OF MATHEMATICAL INDUCTION-EXERCISE 4.1
  1. Prove the following by using the principle of mathematical induction ...

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  2. Prove the following by using the principle of mathematical induction ...

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  3. Prove the following by using the principle of mathematical induction ...

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  4. Prove the following by using the principle of mathematical induction ...

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  5. Prove the following by using the principle of mathematical induction ...

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  6. Prove the following by using the principle of mathematical induction ...

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  7. Prove the following by using the principle of mathematical induction ...

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  8. Prove the following by using the principle of mathematical induction ...

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  9. Prove the following by using the principle of mathematical induction ...

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  10. Prove the following by using the principle of mathematical induction ...

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  11. Prove the following by using the principle of mathematical induction ...

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  12. Prove the following by using the principle of mathematical induction ...

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  13. Prove the following by using the principle of mathematical induction ...

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  14. Prove the following by using the principle of mathematical induction ...

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  15. Prove the following by using the principle of mathematical induction ...

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  16. Prove the following by using the principle of mathematical induction ...

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  17. Prove the following by using the principle of mathematical induction ...

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  18. Prove the following by using the principle of mathematical induction ...

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  19. Prove the following by using the principle of mathematical induction ...

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  20. Prove the following by using the principle of mathematical induction ...

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