OCR MEI FP1 2011 June — Question 6

Exam BoardOCR MEI
ModuleFP1 (Further Pure Mathematics 1)
Year2011
SessionJune
TopicProof by induction

6 Prove by induction that \(1 + 8 + 27 + \ldots + n ^ { 3 } = \frac { 1 } { 4 } n ^ { 2 } ( n + 1 ) ^ { 2 }\). Section B (36 marks)