| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Arithmetic Sequences and Series |
| Type | Periodic or repeating sequence |
| Difficulty | Easy -1.8 This is a straightforward pattern recognition question requiring only basic modular arithmetic (48 ÷ 5) and simple addition. The repeating cycle of 1,2,3,4,5 is immediately obvious, and calculating the sum involves multiplying one complete cycle sum by the number of cycles—purely mechanical with no problem-solving or conceptual depth required. |
| Spec | 1.04e Sequences: nth term and recurrence relations1.04f Sequence types: increasing, decreasing, periodic1.04h Arithmetic sequences: nth term and sum formulae |
Question 3:
3(ii)
M1 for $9 \times (1 + 2 + 3 + 4 + 5) + 1 + 2 + 3$3 A sequence begins
$$\begin{array} { l l l l l l l l l l l l }
1 & 2 & 3 & 4 & 5 & 1 & 2 & 3 & 4 & 5 & 1 & \ldots
\end{array}$$
and continues in this pattern.\\
(i) Find the 48th term of this sequence.\\
(ii) Find the sum of the first 48 terms of this sequence.
\hfill \mbox{\textit{OCR MEI C2 Q3 [3]}}