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The sum of n terms of the series (1)/...

The sum of n terms of the series
`(1)/(sqrt(1) + sqrt3) + 1/(sqrt3 + sqrt5) + 1/(sqrt5 +sqrt7)` + … is :

A

`sqrt(2n+1)`

B

`1/2 sqrt(2n+1)`

C

`sqrt(2n-1)`

D

`1/2{sqrt(2n+1)-1}`

Text Solution

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The correct Answer is:
D
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