Edexcel P2 2019 June — Question 1

Exam BoardEdexcel
ModuleP2 (Pure Mathematics 2)
Year2019
SessionJune
TopicSequences and series, recurrence and convergence

  1. A sequence \(a _ { 1 } , a _ { 2 } , a _ { 3 } , \ldots\) is defined by
$$\begin{aligned} a _ { n + 1 } & = 4 - a _ { n }
a _ { 1 } & = 3 \end{aligned}$$ Find the value of
    1. \(a _ { 2 }\)
    2. \(a _ { 107 }\)
  1. \(\sum _ { n = 1 } ^ { 200 } \left( 2 a _ { n } - 1 \right)\)