# 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.


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

×