Edexcel CP1 2019 June — Question 4

Exam BoardEdexcel
ModuleCP1 (Core Pure 1)
Year2019
SessionJune
TopicProof by induction
  1. Prove that, for \(n \in \mathbb { Z } , n \geqslant 0\)
$$\sum _ { r = 0 } ^ { n } \frac { 1 } { ( r + 1 ) ( r + 2 ) ( r + 3 ) } = \frac { ( n + a ) ( n + b ) } { c ( n + 2 ) ( n + 3 ) }$$ where \(a\), \(b\) and \(c\) are integers to be found.
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