$$\text { Determine whether } \sum a _ { n } \text { converges or diverges. }$$

Short Answer

$$\text { The terms of a series are defined recursively by the equations } a _ { 1 } = 6 , a _ { n + 1 } = \frac { 7 n + 1 } { 6 n + 3 } a _ { n } \text {. }$$ $$\text { Determine whether } \sum a _ { n } \text { converges or diverges. }$$