AQA FP2 2008 January — Question 5

Exam BoardAQA
ModuleFP2 (Further Pure Mathematics 2)
Year2008
SessionJanuary
TopicProof by induction

5 Prove by induction that for all integers \(n \geqslant 1\) $$\sum _ { r = 1 } ^ { n } \left( r ^ { 2 } + 1 \right) ( r ! ) = n ( n + 1 ) !$$