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More Infinity series!

Algebra Level 2

Find the sum (to infinity) of \[ \frac{1}{7} + \frac{2}{7^{2}} + \frac{1}{7^{3}} + \frac{2}{7^{4}} + \frac{ 1}{ 7^5} + \frac{2}{ 7^6} + \ldots \]

\[\frac{11}{48}\] \[\frac{10}{48}\] \[\frac{8}{48}\] \[\frac{9}{48}\]

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by Mohammad Al Ali

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