The sum to infinity of the series
`1+(4)/(5)+(7)/(5^(2))+(10)/(5^(3))+ . . . ,` is

Explanation

To find the sum to infinity of the series \( S = 1 + \frac{4}{5} + \frac{7}{5^2} + \frac{10}{5^3} + \ldots \), we can follow these steps:

### Step 1: Identify the series
The series can be expressed as:
\[ S = 1 + \frac{4}{5} + \frac{7}{5^2} + \frac{10}{5^3} + \ldots \]

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