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For all ngeq1, prove that 1/(1. 2)+1/(2....

For all `ngeq1`, prove that `1/(1. 2)+1/(2. 3)+1/(3. 4)+dotdotdot+1/(n(n+1))=n/(n+1)`

A

`n/(n+1)`

B

`1/(n+1)`

C

`1/(n(n+1))`

D

None of these

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A
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DISHA PUBLICATION-PRINCIPLE OF MATHEMATICAL INDUCTION-Exercise-2 Concept Applicator
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  8. 1 1^(n+2)+1 2^(2n+1) is divisible by 133.

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

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  10. 4 1^n-1 4^n is a multiple of 27

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  12. x^(2n-1)+y^(2n-1) is divisible by x+y

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  13. When 2^301 is divided by 5, the least positive remainder is

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  14. If n is a positive integer, then 2.4^(2n+1)+3^(3n+1) is divisible by :

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  15. 5^(2n+2)-24n+25 is divisible by 576

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  16. Prove the following by the principle of mathematical induction: \ x...

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  17. If P(n0: 49^n+16^n+lambda is divisible by 64 for n N is true, then th...

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  18. If n is any odd number greater than 1, then n\ (n^2-1) is divisible b...

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  19. 1/n+1/(n+1)+1/(n+2)++1/(2n-1)=1-1/2+1/3-1/4++1/(2n-1)

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