Edexcel F1 2024 June — Question 8

Exam BoardEdexcel
ModuleF1 (Further Pure Mathematics 1)
Year2024
SessionJune
TopicProof by induction

  1. Prove by induction that for \(n \in \mathbb { Z } ^ { + }\)
$$f ( n ) = 7 ^ { n - 1 } + 8 ^ { 2 n + 1 }$$ is divisible by 57
(6)