Mathematics - Functions Question with Solution | TestHub

Suppose that a function$\mathrm{f}:\mathbf{R}\mathbf{\to }\mathbf{R}$satisfies$\mathrm{f}\left(\mathrm{x}+\mathrm{y}\right)=\mathrm{f}\left(\mathrm{x}\right) \mathrm{f}\left(\mathrm{y}\right)$for all$\mathrm{x}, \mathrm{y} \mathrm{\epsilon } \mathrm{R}$and$\mathrm{f}\left(1\right)=3$. If$\sum _{\mathrm{i}=1}^{\mathrm{n}}\mathrm{f}\left(\mathrm{i}\right)=363$, then$\mathrm{n}$is equal to ..... .