CAIE FP1 2017 June — Question 1

Exam BoardCAIE
ModuleFP1 (Further Pure Mathematics 1)
Year2017
SessionJune
TopicSequences and Series
1 It is given that \(\sum _ { r = 1 } ^ { n } u _ { r } = n ^ { 2 } ( 2 n + 3 )\), where \(n\) is a positive integer.
  1. Find \(\sum _ { r = n + 1 } ^ { 2 n } u _ { r }\).
  2. Find \(u _ { r }\).
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