2 The \(n\)th term of a sequence is \(u _ { n }\).
The sequence is defined by
$$u _ { n + 1 } = 6 + \frac { 2 } { 5 } u _ { n }$$
The first term of the sequence is given by \(u _ { 1 } = 2\).
- Find the value of \(u _ { 2 }\) and the value of \(u _ { 3 }\).
- The limit of \(u _ { n }\) as \(n\) tends to infinity is \(L\).
Write down an equation for \(L\) and hence find the value of \(L\).