7 A sequence is defined by the recurrence relation \(\mathrm { u } _ { \mathrm { k } + 1 } = \mathrm { u } _ { \mathrm { k } } + 5\) with \(\mathrm { u } _ { 1 } = - 2\).
- Write down the values of \(u _ { 2 } , u _ { 3 }\), and \(u _ { 4 }\).
- Explain whether this sequence is divergent or convergent.
- Determine the value of \(u _ { 30 }\).
- Determine the value of \(\sum _ { \mathrm { k } = 1 } ^ { 30 } \mathrm { u } _ { \mathrm { k } }\).