| Exam Board | OCR |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2009 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Sequences and Series |
| Type | Sums Between Limits |
| Difficulty | Moderate -0.5 This is a straightforward application of the standard formula for sum of cubes with substitution of limits. While it requires knowing the formula Σr³ = [n(n+1)/2]² and computing Σ(1 to 250) - Σ(1 to 100), it's a direct calculation with no problem-solving or insight required, making it easier than average but not trivial due to the arithmetic involved. |
| Spec | 4.06a Summation formulae: sum of r, r^2, r^3 |
1 Evaluate $\sum _ { r = 101 } ^ { 250 } r ^ { 3 }$.
\hfill \mbox{\textit{OCR FP1 2009 Q1 [3]}}