| Exam Board | Edexcel |
|---|---|
| Module | F1 (Further Pure Mathematics 1) |
| Year | 2014 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Topic | Sequences and series, recurrence and convergence |
| Type | Standard summation formulae application |
| Difficulty | Moderate -0.8 This is a straightforward application of standard summation formulae. Expanding (r+1)(r-1) = r² - 1 gives Σr² - Σ1, both of which are direct formula applications requiring minimal algebraic manipulation and no problem-solving insight. |
| Spec | 1.04g Sigma notation: for sums of series |
\begin{enumerate}
\item Find the value of
\end{enumerate}
$$\sum _ { r = 1 } ^ { 200 } ( r + 1 ) ( r - 1 )$$
\hfill \mbox{\textit{Edexcel F1 2014 Q1 [4]}}