| Exam Board | AQA |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2006 |
| Session | June |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Arithmetic Sequences and Series |
| Type | Show quadratic equation in n |
| Difficulty | Moderate -0.8 This is a straightforward application of standard arithmetic sequence formulas (nth term and sum). Part (a) is direct substitution, part (b)(i) requires algebraic manipulation of the sum formula to reach a given quadratic, and part (b)(ii) is solving a quadratic equation. All steps are routine with no problem-solving insight required, making it easier than average. |
| Spec | 1.02f Solve quadratic equations: including in a function of unknown1.04h Arithmetic sequences: nth term and sum formulae |
3 The first term of an arithmetic series is 1 . The common difference of the series is 6 .
\begin{enumerate}[label=(\alph*)]
\item Find the tenth term of the series.
\item The sum of the first $n$ terms of the series is 7400 .
\begin{enumerate}[label=(\roman*)]
\item Show that $3 n ^ { 2 } - 2 n - 7400 = 0$.
\item Find the value of $n$.
\end{enumerate}\end{enumerate}
\hfill \mbox{\textit{AQA C2 2006 Q3 [7]}}