Infinite Computing....

Algebra Level 3

Can you Calculate this... to infinity?

17\frac{1}{7} + 272\frac{2}{7^{2}} + 173\frac{1}{7^{3}} + 274\frac{2}{7^{4}} + 175\frac{1}{7^{5}} + 276\frac{2}{7^{6}} + 177\frac{1}{7^{7}}.....

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