| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Arithmetic Sequences and Series |
| Type | Sum of multiples or integers |
| Difficulty | Moderate -0.3 This is a straightforward application of arithmetic series formulas. Part (a) requires identifying the sequence 7, 14, 21, ..., 994 and applying the standard sum formula. Part (b) uses linearity of summation or builds directly from part (a). Both parts are routine C1 exercises requiring only formula recall and basic manipulation, making it slightly easier than average but not trivial since it requires identifying the sequence structure and careful arithmetic. |
| Spec | 1.04g Sigma notation: for sums of series1.04h Arithmetic sequences: nth term and sum formulae |
\begin{enumerate}[label=(\alph*)]
\item Find the sum of all the integers between 1 and 1000 which are divisible by 7. [3]
\item Hence, or otherwise, evaluate $\sum_{r=1}^{142}(7r + 2)$. [3]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q1 [6]}}