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The sum up to n terms of the series 1/(s...

The sum up to n terms of the series `1/(sqrt(1) + sqrt(3)) + 1/(sqrt(3) + sqrt(5)) + 1/(sqrt(5) + sqrt(7))` +… is:

A

`sqrt(2n+1)`

B

`sqrt(2n+1)/2`

C

`sqrt(2n+1) -1`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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