| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2009 |
| Session | June |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Arithmetic Sequences and Series |
| Type | Find term or common difference |
| Difficulty | Moderate -0.8 This is a straightforward two-equation system using standard arithmetic progression formulas (a + 9d = 2(a + 3d) and a + 19d = 44). It requires only routine algebraic manipulation and direct application of the sum formula, making it easier than average with no problem-solving insight needed. |
| Spec | 1.04h Arithmetic sequences: nth term and sum formulae |
2 The tenth term of an arithmetic progression is equal to twice the fourth term. The twentieth term of the progression is 44 .\\
(i) Find the first term and the common difference.\\
(ii) Find the sum of the first 50 terms.
\hfill \mbox{\textit{OCR C2 2009 Q2 [6]}}