Edexcel FP1 2018 June — Question 8

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2018
SessionJune
TopicProof by induction

  1. Prove by induction that
$$f ( n ) = 2 ^ { n + 2 } + 3 ^ { 2 n + 1 }$$ is divisible by 7 for all positive integers \(n\).