| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Arithmetic Sequences and Series |
| Type | Recurrence relation: find parameter from given term |
| Difficulty | Easy -1.2 This is a straightforward recurrence relation question requiring only direct substitution and basic algebraic manipulation. Part (a) is immediate substitution, part (b) requires one more substitution and simplification of linear expressions, and part (c) involves solving a simple linear equation. This is routine C1 material with no problem-solving insight needed, making it easier than average. |
| Spec | 1.04e Sequences: nth term and recurrence relations |
| Answer | Marks | Guidance |
|---|---|---|
| 4 | 3.1 | 3 |
I notice that the content you've provided appears to be incomplete or unclear:
"Question 4:
4 | 3.1 | 3 | 2"
This looks like it might be a table header or reference numbers rather than actual mark scheme content with marking annotations (M1, A1, B1, DM1, etc) and guidance notes.
Could you please provide the full mark scheme content that needs cleaning up? I'll need the actual marking criteria with annotations to format properly.A sequence $a _ { 1 } , a _ { 2 } , a _ { 3 } , \ldots$ is defined by
$$a _ { 1 } = k , \quad a _ { n + 1 } = 4 a _ { n } - 7 ,$$
where $k$ is a constant.
\begin{enumerate}[label=(\alph*)]
\item Write down an expression for $a _ { 2 }$ in terms of $k$.
\item Find $a _ { 3 }$ in terms of $k$, simplifying your answer.
Given that $a _ { 3 } = 13$,
\item find the value of $k$.
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q4 [5]}}