| Exam Board | OCR |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2007 |
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| Session | January |
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| Topic | Sequences and series, recurrence and convergence |
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3 Use the standard results for \(\sum _ { r = 1 } ^ { n } r\) and \(\sum _ { r = 1 } ^ { n } r ^ { 3 }\) to find
$$\sum _ { r = 1 } ^ { n } r ( r - 1 ) ( r + 1 ) ,$$
expressing your answer in a fully factorised form.