Edexcel FP2 2020 June — Question 2

Exam BoardEdexcel
ModuleFP2 (Further Pure Mathematics 2)
Year2020
SessionJune
TopicSequences and series, recurrence and convergence

  1. Solve the recurrence system
$$\begin{gathered} u _ { 1 } = 1 \quad u _ { 2 } = 4
9 u _ { n + 2 } - 12 u _ { n + 1 } + 4 u _ { n } = 3 n \end{gathered}$$