AQA FP2 2007 June — Question 1

Exam BoardAQA
ModuleFP2 (Further Pure Mathematics 2)
Year2007
SessionJune
TopicSequences and series, recurrence and convergence
1
  1. Given that \(\mathrm { f } ( r ) = ( r - 1 ) r ^ { 2 }\), show that $$\mathrm { f } ( r + 1 ) - \mathrm { f } ( r ) = r ( 3 r + 1 )$$
  2. Use the method of differences to find the value of $$\sum _ { r = 50 } ^ { 99 } r ( 3 r + 1 )$$ (4 marks)
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