| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2008 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Geometric Sequences and Series |
| Type | Find sum to infinity |
| Difficulty | Moderate -0.5 This is a straightforward geometric progression question requiring standard techniques: finding the common ratio from two given terms, then the first term, and finally applying the sum to infinity formula. The algebra is simple (r² = 1/9, so r = 1/3) and all steps are routine for C2 level, making it slightly easier than average. |
| Spec | 1.04i Geometric sequences: nth term and finite series sum1.04j Sum to infinity: convergent geometric series |r|<1 |
8 The second term of a geometric progression is 18 and the fourth term is 2 . The common ratio is positive. Find the sum to infinity of this progression.
\hfill \mbox{\textit{OCR MEI C2 2008 Q8 [5]}}