AQA Paper 1 2020 June — Question 7

Exam BoardAQA
ModulePaper 1 (Paper 1)
Year2020
SessionJune
TopicSequences and series, recurrence and convergence

7 Consecutive terms of a sequence are related by $$u _ { n + 1 } = 3 - \left( u _ { n } \right) ^ { 2 }$$ 7
  1. In the case that \(u _ { 1 } = 2\)
    7
    1. Find \(u _ { 3 }\) 7
  2. (ii) Find \(u _ { 50 }\) 7
  3. State a different value for \(u _ { 1 }\) which gives the same value for \(u _ { 50 }\) as found in part (a)(ii).