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UFM Pure
Sequences and series, recurrence and convergence
Q4
Edexcel CP2 2024 June — Question 4
Exam Board
Edexcel
Module
CP2 (Core Pure 2)
Year
2024
Session
June
Topic
Sequences and series, recurrence and convergence
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.
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