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Using the principle of mathematical induction prove that `1/(1. 2. 3)+1/(2. 3. 4)+1/(3. 4. 5)++1/(n(n+1)(n+2))=(n(n+3))/(4(n+1)(n+2)` for all `n in N`

A

`(n(n+1))/(4(n+2)(n+3))`

B

`(n(n+3))/(4(n+1)(n+2))`

C

`(n(n+2))/(4(n+1)(n+3))`

D

None of these

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The correct Answer is:
B
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DISHA PUBLICATION-PRINCIPLE OF MATHEMATICAL INDUCTION-Exercise-2 Concept Applicator
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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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