Edexcel CP AS 2019 June — Question 3

Exam BoardEdexcel
ModuleCP AS (Core Pure AS)
Year2019
SessionJune
TopicProof by induction

  1. Prove by mathematical induction that, for \(n \in \mathbb { N }\)
$$\sum _ { r = 1 } ^ { n } \frac { 1 } { ( 2 r - 1 ) ( 2 r + 1 ) } = \frac { n } { 2 n + 1 }$$