If the sum of the first ten terms of the series \( \dfrac{1}{5} + \dfrac{2}{65} + \dfrac{3}{325} + \dfrac{4}{1025} + \dfrac{5}{2501} + \ldots \) is \( \dfrac{m}{n} \), where \( m \) and \( n \) are co-prime numbers, then \( m + n \) is equal to _______.
