Edexcel FP2 2023 June — Question 6

Exam BoardEdexcel
ModuleFP2 (Further Pure Mathematics 2)
Year2023
SessionJune
TopicSequences and series, recurrence and convergence

  1. Determine a closed form for the recurrence relation
$$\begin{aligned} & u _ { 0 } = 1 \quad u _ { 1 } = 4
& u _ { n + 2 } = 2 u _ { n + 1 } - \frac { 4 } { 3 } u _ { n } + n \quad n \geqslant 0 \end{aligned}$$