2. The general solution of the first order recurrence relation $$u _ { n + 1 } + a u _ { n } = b n ^ { 2 } + c n + d \quad n \geqslant 0$$ is given by $$u _ { n } = A ( 3 ) ^ { n } + 5 n ^ { 2 } + 1$$ where \(A\) is an arbitrary non-zero constant.
By considering expressions for \(u _ { n + 1 }\) and \(u _ { n }\), find the values of the constants \(a , b , c\) and \(d\).