\(\frac{1}{5^1} + \frac{1}{5^2} + \frac{1}{5^3} + ...\)
The expression above can be determined as the sum of an infinite geometric series
Each term can be written as \(1*(\frac{1}{5})^n\)
Using this information, we can plug the values into the formula for the sum of an infinite geometric series
\(\frac{\frac{1}{5}}{1 - \frac{1}{5}} = \frac{1}{4}\)
Finally we get an answer of 1/4
:D