Motion In A Straight Line

A body moves on a frictionless plane starting from rest. If \(\mathrm{S_n}\) is distance moved between \(\mathrm{t=n-1}\) and \(\mathrm{t}=\mathrm{n}\) and \(\mathrm{S}_{\mathrm{n}-1}\) is distance moved between \(\mathrm{t}=\mathrm{n}-2\) and \(\mathrm{t}=\mathrm{n}-1\), then the ratio \(\frac{\mathrm{S}_{\mathrm{n}-1}}{\mathrm{~S}_{\mathrm{n}}}\) is \(\left(1-\frac{2}{x}\right)\) for \(\mathrm{n}=10\). The value of \(x\) is __________.