| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2011 |
| Session | January |
| Marks | 7 |
| 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 series question requiring standard techniques: using the nth term formula to set up equations for r and a, then applying the sum to infinity formula. The calculations involve fractional/negative ratios but follow routine procedures with no conceptual challenges beyond C2 curriculum expectations. |
| Spec | 1.04i Geometric sequences: nth term and finite series sum1.04j Sum to infinity: convergent geometric series |r|<1 |
3. The second and fifth terms of a geometric series are 750 and - 6 respectively.
Find
\begin{enumerate}[label=(\alph*)]
\item the common ratio of the series,
\item the first term of the series,
\item the sum to infinity of the series.
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 2011 Q3 [7]}}