Edexcel CP2 2024 June — Question 4

Exam BoardEdexcel
ModuleCP2 (Core Pure 2)
Year2024
SessionJune
TopicSequences and series, recurrence and convergence

  1. Use the method of differences to show that
$$\sum _ { r = 1 } ^ { n } \frac { 2 } { ( r + 4 ) ( r + 6 ) } = \frac { n ( a n + b ) } { 30 ( n + 5 ) ( n + 6 ) }$$ where \(a\) and \(b\) are integers to be determined.