| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Geometric Sequences and Series |
| Type | Find sum to infinity |
| Difficulty | Moderate -0.3 This is a straightforward geometric progression question requiring standard formulas. Part (i) involves simple division of consecutive terms, part (ii) is direct application of the common ratio, and part (iii) uses the sum to infinity formula. All steps are routine with no problem-solving insight needed, 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 |
A geometric progression has third term 36 and fourth term 27.
Find
\begin{enumerate}[label=(\roman*)]
\item the common ratio, [2]
\item the fifth term, [2]
\item the sum to infinity. [4]
\end{enumerate}
\hfill \mbox{\textit{OCR C2 Q4 [8]}}