CAIE FP1 2014 June — Question 3

Exam BoardCAIE
ModuleFP1 (Further Pure Mathematics 1)
Year2014
SessionJune
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicProof by induction

3 Prove by mathematical induction that, for all non-negative integers \(n\), $$11 ^ { 2 n } + 25 ^ { n } + 22$$ is divisible by 24 .

3 Prove by mathematical induction that, for all non-negative integers $n$,

$$11 ^ { 2 n } + 25 ^ { n } + 22$$

is divisible by 24 .

\hfill \mbox{\textit{CAIE FP1 2014 Q3}}