A body start from rest and moves with a constant acceleration . The ratio of distance covered in the nth second to the distance covered in n second is .
Here `s_n = 1/2 an^2`
`s_nth` = distance travelled in n second - distance travelled in (n - 1) second
= `((2n - 1)/(2))a`
`:.` `s_n/s_nth = (2n - 1)/(n^2)`
= `2/n - 1/n^2`
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