A particle starts sliding down a frictionless inclined plane. If ` S_(n) ` is the distance travelled by it from time ` t = n-1 sec `, to `t = n sec`, the ratio ` (S_(n))/(s_(n+1))` is

Options

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

Answer

A

Explanation

` s_(n) = (a)/(2)(2n-1)`,
`s_(n+1) = (a)/(2) [2(n+1)-1] = (a)/(2) (2n +1)`
` (s_(n))/(s_(n+1)) = (2n-1)/(2n+1)`