Edexcel F1 2014 January — Question 9

Exam BoardEdexcel
ModuleF1 (Further Pure Mathematics 1)
Year2014
SessionJanuary
TopicProof by induction
  1. Prove by induction that, for \(n \in \mathbb { Z } ^ { + }\),
$$f ( n ) = 7 ^ { n } - 2 ^ { n } \text { is divisible by } 5$$
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