Edexcel F1 Specimen — Question 5

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

  1. Prove by induction that, for \(n \in \mathbb { Z } ^ { + }\),
$$\mathrm { f } ( n ) = 5 ^ { n } + 8 n + 3 \text { is divisible by } 4$$