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Algebra Level 2

The Sum To Infinity of $\displaystyle \cfrac { 1 }{ 7 } +\cfrac { 2 }{ { 7 }^{ 2 } } +\cfrac { 1 }{ { 7 }^{ 3 } } +\cfrac { 2 }{ { 7 }^{ 4 } } ...$ is

\displaystyle \cfrac { 1 }{ 24 }

none of these

\displaystyle \cfrac { 1 }{ 26 }

\displaystyle \cfrac { 1 }{ 5 }

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by Soumo Mukherjee

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