OCR MEI Further Pure Core AS Specimen — Question 6

Exam BoardOCR MEI
ModuleFurther Pure Core AS (Further Pure Core AS)
SessionSpecimen
TopicSequences and Series
6
  1. Show that, when \(n = 5 , \sum _ { r = n + 1 } ^ { 2 n } r ^ { 2 } = 330\).
  2. Find, in terms of \(n\), a fully factorised expression for \(\sum _ { r = n + 1 } ^ { 2 n } r ^ { 2 }\).
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