AQA FP2 2010 June — Question 2

Exam BoardAQA
ModuleFP2 (Further Pure Mathematics 2)
Year2010
SessionJune
TopicSequences and series, recurrence and convergence

2
  1. Express \(\frac { 1 } { r ( r + 2 ) }\) in partial fractions.
  2. Use the method of differences to find $$\sum _ { r = 1 } ^ { 48 } \frac { 1 } { r ( r + 2 ) }$$ giving your answer as a rational number.