Edexcel P2 2023 October — Question 2

Exam BoardEdexcel
ModuleP2 (Pure Mathematics 2)
Year2023
SessionOctober
TopicSequences and series, recurrence and convergence

  1. A sequence \(u _ { 1 } , u _ { 2 } , u _ { 3 } , \ldots\) is defined by
$$\begin{gathered} u _ { 1 } = 3
u _ { n + 1 } = 2 - \frac { 4 } { u _ { n } } \end{gathered}$$
  1. Find the value of \(u _ { 2 }\), the value of \(u _ { 3 }\) and the value of \(u _ { 4 }\)
  2. Find the value of $$\sum _ { r = 1 } ^ { 100 } u _ { r }$$