| Exam Board | OCR |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2010 |
| Session | January |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Sequences and series, recurrence and convergence |
| Type | Standard summation formulae application |
| Difficulty | Standard +0.3 This is a straightforward application of standard summation formulae requiring expansion of the cubic expression into terms involving Σr³, Σr², and Σr, then substitution of known formulae and factorisation. While it's Further Maths content, it's a routine textbook exercise with no novel insight required, making it slightly easier than average overall. |
| Spec | 1.04g Sigma notation: for sums of series4.06a Summation formulae: sum of r, r^2, r^3 |
4 Find $\sum _ { r = 1 } ^ { n } r ( r + 1 ) ( r - 2 )$, expressing your answer in a fully factorised form.
\hfill \mbox{\textit{OCR FP1 2010 Q4 [6]}}