OCR FP1 2006 January — Question 2

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2006
SessionJanuary
TopicProof by induction

2 Prove by induction that, for \(n \geqslant 1 , \sum _ { r = 1 } ^ { n } r ^ { 2 } = \frac { 1 } { 6 } n ( n + 1 ) ( 2 n + 1 )\).