| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2013 |
| Session | January |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Arithmetic Sequences and Series |
| Type | Periodic or repeating sequence |
| Difficulty | Easy -1.3 This is a straightforward classification question requiring only pattern recognition and recall of definitions (convergent, periodic, neither). Each part is worth 1 mark and involves identifying an obvious sequence type: (i) geometric sequence with r=1/2 converging to 0, (ii) arithmetic sequence diverging to infinity, (iii) repeating cycle of period 4. No calculation or problem-solving required, just application of basic definitions. |
| Spec | 1.04f Sequence types: increasing, decreasing, periodic |
For each of the following sequences, state with a reason whether it is convergent, periodic or neither. Each sequence continues in the pattern established by the given terms.
\begin{enumerate}[label=(\roman*)]
\item $3, \frac{3}{2}, \frac{3}{4}, \frac{3}{8}, \ldots$ [1]
\item $3, 7, 11, 15, \ldots$ [1]
\item $3, 5, -3, -5, 3, 5, -3, -5, \ldots$ [1]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 2013 Q2 [3]}}