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If lta(n)gtandltb(n)gt be two sequences ...

If `lta_(n)gtandltb_(n)gt` be two sequences given by `a_(n)=(x)^((1)/(2^(n)))+(y)^((1)/(2^(n)))-(y)^((1)/(2n))` for all `ninN`. Then, `a_(1)a_(2)a_(3) . . . . .a_(n)` is equal to

A

`(x^(2)+y^(2))/(b_(n))`

B

`(x-y)/(b_(n))`

C

`(x+y)/(b_(n))`

D

`(x^(2)-y^(2))/(b_(n))`

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