4 A sequence \(u _ { 1 } , u _ { 2 } , u _ { 3 } , \ldots\) is defined by \(u _ { n } = 5 n + 1\).
- State the values of \(u _ { 1 } , u _ { 2 }\) and \(u _ { 3 }\).
- Evaluate \(\sum _ { n = 1 } ^ { 40 } u _ { n }\).
Another sequence \(w _ { 1 } , w _ { 2 } , w _ { 3 } , \ldots\) is defined by \(w _ { 1 } = 2\) and \(w _ { n + 1 } = 5 w _ { n } + 1\).
- Find the value of \(p\) such that \(u _ { p } = w _ { 3 }\).