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LFM Stats And Pure
Partial Fractions
Q1
Edexcel FP2 2014 June — Question 1
Exam Board
Edexcel
Module
FP2 (Further Pure Mathematics 2)
Year
2014
Session
June
Topic
Partial Fractions
Type
Two linear factors in denominator
(a) Express \(\frac { 2 } { ( r + 2 ) ( r + 4 ) }\) in partial fractions.
(b) Hence show that
$$\sum _ { r = 1 } ^ { n } \frac { 2 } { ( r + 2 ) ( r + 4 ) } = \frac { n ( 7 n + 25 ) } { 12 ( n + 3 ) ( n + 4 ) }$$
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