A body starts from rest and moves with constant acceleration. The ratio of distance covered by the body in `nth` second to that covered in `n` second is.

Options

A. `((2)/(n)-(1)/(n^(2)))`
B. `((1)/(n^(2))-(1)/(n))`
C. `((2)/(n^(2))-(1)/(n))`
D. `(2)/(n)+(1)/(n^(2))`

Answer

A

Explanation

`S_(n)=(a)/(2)(2n-1), S =(a)/(2)n^(2),(S_(n))/(S)=(2n-1)/(n^(2))`