| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2006 |
| Session | January |
| Marks | 2 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Arithmetic Sequences and Series |
| Type | Sigma notation: direct numerical evaluation |
| Difficulty | Easy -1.8 This is a straightforward calculation requiring only direct substitution into the formula k³ for four values (k=2,3,4,5) and adding them: 8+27+64+125=224. It tests basic understanding of sigma notation with no problem-solving, making it significantly easier than average A-level questions. |
| Spec | 1.04g Sigma notation: for sums of series |
| Answer | Marks | Guidance |
|---|---|---|
| 224 | 2 marks | M1 for \(2^1 + 3^3 + 4^4 + 5^3\) |
224 | 2 marks | M1 for $2^1 + 3^3 + 4^4 + 5^3$2 Find the numerical value of $\sum _ { k = 2 } ^ { 5 } k ^ { 3 }$.
\hfill \mbox{\textit{OCR MEI C2 2006 Q2 [2]}}