OCR MEI FP1 2009 June — Question 6

Exam BoardOCR MEI
ModuleFP1 (Further Pure Mathematics 1)
Year2009
SessionJune
TopicProof by induction

6 Prove by induction that \(3 + 10 + 17 + \ldots + ( 7 n - 4 ) = \frac { 1 } { 2 } n ( 7 n - 1 )\) for all positive integers \(n\). Section B (36 marks)