Sum this Series!

Algebra Level 3

\[ \dfrac1{5^0} + \dfrac{4}{5^1} + \dfrac{7}{5^2} + \dfrac{10}{5^3} + \cdots \]

Find the closed form of the series above to 2 decimal places.

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Clarification: The numbers of the numerators form an arithmetic progression: \(1,4,7,10, \ldots \).

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