OCR FP1 2011 June — Question 2

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

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