Edexcel CP1 Specimen — Question 1

Exam BoardEdexcel
ModuleCP1 (Core Pure 1)
SessionSpecimen
TopicSequences and series, recurrence and convergence
  1. Prove that
$$\sum _ { r = 1 } ^ { n } \frac { 1 } { ( r + 1 ) ( r + 3 ) } = \frac { n ( a n + b ) } { 12 ( n + 2 ) ( n + 3 ) }$$ where \(a\) and \(b\) are constants to be found.
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