Question 1 - A-Level Maths

Exam Board	Edexcel
Module	FP2 (Further Pure Mathematics 2)
Year	2013
Session	June
Topic	Partial Fractions
Type	Two linear factors in denominator

(a) Express $\frac { 2 } { ( 2 r + 1 ) ( 2 r + 3 ) }$ in partial fractions.
(b) Using your answer to (a), find, in terms of $n$,

$$\sum _ { r = 1 } ^ { n } \frac { 3 } { ( 2 r + 1 ) ( 2 r + 3 ) }$$ Give your answer as a single fraction in its simplest form.