| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2015 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Arithmetic Sequences and Series |
| Type | Recurrence relation: evaluate sum |
| Difficulty | Moderate -0.8 This is a straightforward recurrence relation question requiring only direct calculation of four terms and their sum. While it involves a non-linear recurrence (reciprocal of square), no problem-solving insight is needed—just careful arithmetic following the given formula. The computational steps are routine for C2 level. |
| Spec | 1.04e Sequences: nth term and recurrence relations1.04g Sigma notation: for sums of series |
2 A sequence is defined by $u _ { 1 } = 2$ and $u _ { k + 1 } = \frac { 10 } { u _ { k } ^ { 2 } }$.\\
Calculate $\sum _ { k = 1 } ^ { 4 } u _ { k }$.
\hfill \mbox{\textit{OCR MEI C2 2015 Q2 [3]}}