| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| 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 using standard summation formulas. Part (ii) is a basic conceptual question about sequence behavior requiring only the observation 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 |
| Answer | Marks | Guidance |
|---|---|---|
| (i) 193 | 2 | M1 for \(8 + 15 + ... + 63\) |
| (ii) divergent + difference between terms increasing oe | 1 |
## Question 8:
| (i) 193 | 2 | **M1** for $8 + 15 + ... + 63$ |
| (ii) divergent + difference between terms increasing oe | 1 | |8 (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 Q8 [3]}}