Edexcel FP2 2009 June — Question 1

Exam BoardEdexcel
ModuleFP2 (Further Pure Mathematics 2)
Year2009
SessionJune
TopicPartial Fractions
TypeTwo linear factors in denominator
  1. Express \(\frac { 1 } { r ( r + 2 ) }\) in partial fractions.
  2. Hence show that \(\sum _ { r = 1 } ^ { n } \frac { 4 } { r ( r + 2 ) } = \frac { n ( 3 n + 5 ) } { ( n + 1 ) ( n + 2 ) }\).
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