| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2014 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Sequences and series, recurrence and convergence |
| Type | Standard summation formulae application |
| Difficulty | Moderate -0.8 This is a straightforward application of standard summation formulae requiring expansion of r(r-2) into r² - 2r, then applying Σr² and Σr formulae before factorising. It's routine algebraic manipulation with direct formula application, making it easier than average even for Further Maths, though the factorisation adds minimal challenge. |
| Spec | 4.06a Summation formulae: sum of r, r^2, r^3 |
1 Use standard series formulae to find $\sum _ { r = 1 } ^ { n } r ( r - 2 )$, factorising your answer as far as possible.
\hfill \mbox{\textit{OCR MEI FP1 2014 Q1 [5]}}