1 A sequence \(S\) has terms \(u _ { 1 } , u _ { 2 } , u _ { 3 } , \ldots\) defined by
$$u _ { n } = 3 n - 1 ,$$
for \(n \geqslant 1\).
- Write down the values of \(u _ { 1 } , u _ { 2 }\) and \(u _ { 3 }\), and state what type of sequence \(S\) is.
- Evaluate \(\sum _ { n = 1 } ^ { 100 } u _ { n }\).