CAIE FP1 2006 November — Question 4

Exam BoardCAIE
ModuleFP1 (Further Pure Mathematics 1)
Year2006
SessionNovember
TopicProof by induction

4 Prove by mathematical induction that, for all positive integers \(n , 10 ^ { 3 n } + 13 ^ { n + 1 }\) is divisible by 7 .