- Evaluate \(49 ^ { \frac { 1 } { 2 } } + 8 ^ { \frac { 2 } { 3 } }\).
- A sequence is defined by the recurrence relation
$$u _ { n + 1 } = \frac { u _ { n } + 1 } { 3 } , \quad n = 1,2,3 , \ldots$$
Given that \(u _ { 3 } = 5\),
- find the value of \(u _ { 4 }\),
- find the value of \(u _ { 1 }\).