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If 2tan^2theta-5sectheta=1 has exactly 7...

If `2tan^2theta-5sectheta=1` has exactly 7 solutions in `[0,(npi)/2]` for least value of `ninN`, then `sum_(k=1)^nk/(2n)` is equal to..................

A

`(1)/(2^(15))(2^(14)-14)`

B

`(1)/(2^(13))(2^(14)-15)`

C

`1-(15)/(2^(13))`

D

`(1)/(2^(14))(2^(15)-15)`

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