| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2009 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Arithmetic Sequences and Series |
| Type | Sigma notation: direct numerical evaluation |
| Difficulty | Moderate -0.8 Part (i) requires straightforward substitution into a simple expression and addition of six terms, or applying standard sum formulas. Part (ii) is a basic conceptual question about sequence behavior requiring only recognition that k² grows without bound. Both parts are routine C2-level exercises with no problem-solving or insight required, making this easier than average. |
| Spec | 1.04f Sequence types: increasing, decreasing, periodic1.04g Sigma notation: for sums of series |
3 (i) Find $\sum _ { k = 3 } ^ { 8 } \left( k ^ { 2 } - 1 \right)$.\\
(ii) State whether the sequence with $k$ th term $k ^ { 2 } - 1$ is convergent or divergent, giving a reason for your answer.
\hfill \mbox{\textit{OCR MEI C2 2009 Q3 [3]}}