Edexcel FP2 2024 June — Question 2

Exam BoardEdexcel
ModuleFP2 (Further Pure Mathematics 2)
Year2024
SessionJune
TopicSequences and series, recurrence and convergence

  1. Determine a closed form for the recurrence system
$$\begin{gathered} u _ { 1 } = 4 \quad u _ { 2 } = 6
u _ { n + 2 } = 6 u _ { n + 1 } - 9 u _ { n } \quad ( n = 1,2,3 , \ldots ) \end{gathered}$$