Edexcel FP2 — Question 2

Exam BoardEdexcel
ModuleFP2 (Further Pure Mathematics 2)
TopicPartial Fractions
TypeTwo linear factors in denominator
2. (a) Express \(\frac { 2 } { ( 2 r + 1 ) ( 2 r + 3 ) }\) in partial fractions.
(b) Hence prove that \(\sum _ { r = 1 } ^ { n } \frac { 2 } { ( 2 r + 1 ) ( 2 r + 3 ) } = \frac { 2 n } { 3 ( 2 n + 3 ) }\).
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