OCR FP1 2015 June — Question 4

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2015
SessionJune
TopicProof by induction

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