| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2010 |
| 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 pattern recognition question requiring only basic modular arithmetic to identify the repeating cycle of 5 terms, then simple division with remainder to find the 55th term, and multiplication to sum. The pattern is immediately obvious, and the calculations are elementary with no conceptual depth or problem-solving required beyond recognizing the repetition. |
| Spec | 1.04f Sequence types: increasing, decreasing, periodic |
A sequence begins
$$1 \quad 3 \quad 5 \quad 3 \quad 1 \quad 3 \quad 5 \quad 3 \quad 1 \quad 3 \quad \ldots$$
and continues in this pattern.
\begin{enumerate}[label=(\roman*)]
\item Find the 55th term of this sequence, showing your method. [1]
\item Find the sum of the first 55 terms of the sequence. [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 2010 Q2 [3]}}