Question 5 - A-Level Maths

Exam Board	OCR MEI
Module	Further Pure Core (Further Pure Core)
Session	Specimen
Topic	Sequences and series, recurrence and convergence

Express \(\frac { 2 } { ( r + 1 ) ( r + 3 ) }\) in partial fractions.
Hence find \(\sum _ { r = 1 } ^ { n } \frac { 1 } { ( r + 1 ) ( r + 3 ) }\), expressing your answer as a single fraction.