| Exam Board | OCR |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2010 |
| Session | June |
| 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 standard FP1 summation question requiring the method of differences or use of standard summation formulae. While it involves algebraic manipulation and factorisation, it's a routine textbook exercise testing a core FP1 technique with no novel problem-solving required. The 6 marks reflect working steps rather than conceptual difficulty. |
| Spec | 4.06a Summation formulae: sum of r, r^2, r^3 |
Find $\sum_{r=1}^{n} (2r - 1)^2$, expressing your answer in a fully factorised form. [6]
\hfill \mbox{\textit{OCR FP1 2010 Q3 [6]}}