Edexcel FD2 2022 June — Question 2

Exam BoardEdexcel
ModuleFD2 (Further Decision 2)
Year2022
SessionJune
TopicSequences and Series

2. The general solution of the second order recurrence relation $$u _ { n + 2 } + k _ { 1 } u _ { n + 1 } + k _ { 2 } u _ { n } = 0 \quad n \geqslant 0$$ is given by $$u _ { n } = ( A + B n ) ( - 3 ) ^ { n }$$ where \(A\) and \(B\) are arbitrary non-zero constants.
  1. Find the value of \(k _ { 1 }\) and the value of \(k _ { 2 }\) Given that \(u _ { 0 } = u _ { 1 } = 1\)
  2. find the value of \(A\) and the value of \(B\).