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For all ngt=1, prove that , (1)/(1.2)...

For all `ngt=1`, prove that ,
`(1)/(1.2) + (1)/(2.3) + (1)/(3.4) + ……+ (1)/(n(n+1)) = (n)/(n+1)`

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By using the principle of mathematical induction , prove the follwing : P(n) : (1)/(1.2) + (1)/(2.3) + (1)/(3.4) + …….+ (1)/(n(n+1)) = (n)/(n+1) , n in N

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Prove the following by using the principle of mathematical induction for all n in N (1)/(1.3) + (1)/(3.5) + (1)/(5.7) + …….+(1)/((2n-1)(2n+1)) = (n)/(2n+1)

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By using the principle of mathematical induction , prove the follwing : 1 + (1)/(1+2) + (1)/(1+2+3) + …..+ (1)/(1+2+…..+n) = (2n)/(n+1) , n in N

NCERT GUJARATI-PRINCIPLE OF MATHEMATICAL INDUCTION-EXERCISE - 4.1
  1. For all ngt=1, prove that , (1)/(1.2) + (1)/(2.3) + (1)/(3.4) + ……+...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  21. Prove the following by using the principle of mathematical induction f...

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