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The sum of the first n terms of the ser...

The sum of the first n terms of the series `(1)/(sqrt(2)+sqrt(5))+(1)/(sqrt(5)+sqrt(8))+(1)/(sqrt(8)+sqrt(11))+`.... is

A

`(1)/(3)(sqrt(3n+2)-sqrt(2))`

B

`sqrt(3n+2)-sqrt(2)`

C

`sqrt(3n+2)+sqrt(2)`

D

`(1)/(3)(sqrt(2)-sqrt(3n+2))`

Text Solution

Verified by Experts

The correct Answer is:
A
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