The sum to infinity of the series \(\displaystyle1+\frac{2}{3}+\frac{6}{3^{2}}+\frac{10}{3^{3}}+...

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The sum to infinity of the series \(\displaystyle1+\frac{2}{3}+\frac{6}{3^{2}}+\frac{10}{3^{3}}+\frac{14}{3^{4}}+...\) is
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