| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2007 |
| Session | January |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Sequences and series, recurrence and convergence |
| Type | Standard summation formulae application |
| Difficulty | Moderate -0.5 This is a straightforward application of standard summation formulae (∑r and ∑r³) requiring algebraic expansion and factorisation. While it's Further Maths content, it's a routine textbook exercise with no problem-solving insight needed—just mechanical application of known formulae, making it slightly easier than average overall. |
| Spec | 4.06a Summation formulae: sum of r, r^2, r^3 |
Use standard series formulae to find $\sum_{r=1}^{n} r(r^2 - 1)$, factorising your answer as far as possible. [6]4 Use standard series formulae to find $\sum _ { r = 1 } ^ { n } r \left( r ^ { 2 } + 1 \right)$, factorising your answer as far as possible.
\hfill \mbox{\textit{OCR MEI FP1 2007 Q4 [6]}}