| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Arithmetic Sequences and Series |
| Type | Sequence defined by formula |
| Difficulty | Easy -1.2 This is a straightforward arithmetic sequence question requiring only basic substitution to find terms, recognition of sequence type, and application of the standard arithmetic series formula. All steps are routine recall with no problem-solving or insight needed. |
| Spec | 1.04g Sigma notation: for sums of series1.04h Arithmetic sequences: nth term and sum formulae |
A sequence $S$ has terms $u_1, u_2, u_3, \ldots$ defined by
$$u_n = 3n - 1,$$
for $n \geqslant 1$.
\begin{enumerate}[label=(\roman*)]
\item Write down the values of $u_1, u_2$ and $u_3$, and state what type of sequence $S$ is. [3]
\item Evaluate $\sum_{n=1}^{100} u_n$. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR C2 Q1 [6]}}