A sequence \(u_1\), \(u_2\), \(u_3\), \(\ldots\) is such that \(u_{n+1}=Au_n+Bn+C\), where \(n\geq 1\) and \(A\), \(B\) and \(C\) are constants. It is given that \(u_1=8\), \(u_2=22\), \(u_3=49\) and \(u_4=102\).
Find the value of \(u_5\).[4]
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