CAIE Further Paper 1 2023 June — Question 1

Exam BoardCAIE
ModuleFurther Paper 1 (Further Paper 1)
Year2023
SessionJune
TopicProof by induction

1 Prove by mathematical induction that, for all positive integers \(n , 5 ^ { 3 n } + 32 ^ { n } - 33\) is divisible by 31 .