\(\left(\frac{1}{3}+\frac{4}{7}\right)+\left(\frac{1}{{3}^{2}}+\frac{1}{3}\times \frac{4}{7}+\frac{{4}^{2}}{{7}^{2}}\rig…

\(\left(\frac{1}{3}+\frac{4}{7}\right)+\left(\frac{1}{{3}^{2}}+\frac{1}{3}\times \frac{4}{7}+\frac{{4}^{2}}{{7}^{2}}\right)+\)\(\left(\frac{1}{{3}^{3}}+\frac{1}{{3}^{2}}\times \frac{4}{7}+\frac{1}{3}\times \frac{{4}^{2}}{{7}^{2}}+\frac{{4}^{3}}{{7}^{3}}\right)+...\)upto infinite terms, is equal to