Edexcel FP2 2014 June — Question 1

Exam BoardEdexcel
ModuleFP2 (Further Pure Mathematics 2)
Year2014
SessionJune
TopicPartial Fractions
TypeTwo linear factors in denominator

  1. (a) Express \(\frac { 2 } { ( r + 2 ) ( r + 4 ) }\) in partial fractions.
    (b) Hence show that
$$\sum _ { r = 1 } ^ { n } \frac { 2 } { ( r + 2 ) ( r + 4 ) } = \frac { n ( 7 n + 25 ) } { 12 ( n + 3 ) ( n + 4 ) }$$