The ratio of times taken by freely falling body to cover first metre, second metre,.. is

If tn be the time taken by a bodt falling from rest to cover 'n' metre , then n = 1/2 gt2(n).: t'n = Time taken by the body to cover nth metre= tn -tn-1 = √(2n/g) - √ (2(n-1)/g).: t'n = √(2/g) [√n -√(n-1)].: t1' : t2' :t3' ................ = √1 : (√2 -√1) : (√3 - √2) : .........