Question Number 191019 by Albert12 last updated on 16/Apr/23
$$\mathrm{1}−\frac{\mathrm{1}−\frac{\mathrm{1}−\frac{\iddots}{\mathrm{5}}}{\mathrm{5}}}{\mathrm{5}}\:\:=? \\ $$
Answered by 073 last updated on 16/Apr/23
$$\mathrm{1}−\frac{\mathrm{x}}{\mathrm{5}}=\mathrm{x} \\ $$$$\mathrm{1}=\mathrm{x}+\frac{\mathrm{x}}{\mathrm{5}}=\frac{\mathrm{6x}}{\mathrm{5}} \\ $$$$\mathrm{6x}=\mathrm{5} \\ $$$$\mathrm{x}=\frac{\mathrm{5}}{\mathrm{6}} \\ $$$$ \\ $$