| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Geometric Sequences and Series |
| Type | Find sum to infinity |
| Difficulty | Easy -1.2 This is a straightforward geometric progression question requiring only direct application of standard formulas: r = second term / first term, and sum to infinity = a/(1-r). Both parts are routine recall with minimal calculation, making it easier than average for A-level. |
| Spec | 1.04i Geometric sequences: nth term and finite series sum1.04j Sum to infinity: convergent geometric series |r|<1 |
A geometric progression has first term 75 and second term $-15$.
\begin{enumerate}[label=(\roman*)]
\item Find the common ratio. [2]
\item Find the sum to infinity. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR C2 Q1 [4]}}