| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2008 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Geometric Sequences and Series |
| Type | Find sum to infinity |
| Difficulty | Easy -1.3 This is a straightforward geometric series question requiring only direct formula application: (i) uses ar^(n-1) with given values, and (ii) uses S_∞ = a/(1-r). Both parts are routine recall with simple arithmetic and no problem-solving element, making it easier than average. |
| Spec | 1.04i Geometric sequences: nth term and finite series sum1.04j Sum to infinity: convergent geometric series |r|<1 |
The first term of a geometric series is 5.4 and the common ratio is 0.1.
\begin{enumerate}[label=(\roman*)]
\item Find the fourth term of the series. [1]
\item Find the sum to infinity of the series. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 2008 Q2 [3]}}