Higher November 2024 Paper 4 Q18

OCRHigherCurrent spec6 marksSequences

18 Some sequences are defined using this term-to-term rule.

\(u_{n+1} = 5u_n - 8\).

(a) If \(u_3 = 22\), show that \(u_4 = 102\). [1]
(b) If \(u_3 = 22\), work out \(u_2\). [3]
(c) If \(u_1 = 2\), write down the value of \(u_{50}\).
Give a reason for your answer. [2]