Give relation between half reaction time $\left({\mathrm{t}}_{1/2}\right)$ and initial concentration of reactant for $(\mathrm{n}-1)$ order reaction

$$\begin{gathered} \mathrm{For} \mathrm{nth} \mathrm{order} \mathrm{reacition} \mathrm{half} \mathrm{life} \mathrm{is}- \\ {\mathrm{t}}_{\frac{1}{2}}=\frac{2^{\mathrm{n}-1}-1}{(\mathrm{n}-1){\left[{\mathrm{A}}_0\right]}^{\mathrm{n}-1}{\mathrm{k}}_{\mathrm{A}}} \\ \text{ For }(\mathrm{n}-1)\text{ th order reaction, } \\ \begin{array}{rl} & {\mathrm{t}}_{\frac{1}{2}}=\frac{2^{\mathrm{n}-2}-1}{(\mathrm{n}-2){\left[{\mathrm{A}}_0\right]}^{\mathrm{n}-2}{\mathrm{k}}_{\mathrm{A}}}\\ & {\mathrm{t}}_{\frac{1}{2}}\propto {\left[{\mathrm{A}}_0\right]}^{2-\mathrm{n}}\end{array} \\ \mathrm{or} {\mathrm{t}}_{\frac{1}{2}}\propto {\left[{\mathrm{R}}_0\right]}^{2-\mathrm{n}} \end{gathered}$$