OCR FP1 2010 June — Question 1

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2010
SessionJune
TopicProof by induction

1 Prove by induction that, for \(n \geqslant 1 , \sum _ { r = 1 } ^ { n } r ( r + 1 ) = \frac { 1 } { 3 } n ( n + 1 ) ( n + 2 )\).