| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Arithmetic Sequences and Series |
| Type | Recurrence relation: find specific terms |
| Difficulty | Moderate -0.8 This is a straightforward recurrence relation question requiring only direct substitution and simple algebraic manipulation. Part (i) involves one forward step using the given formula, while part (ii) requires working backwards twice using basic algebra to solve linear equations. No conceptual difficulty or problem-solving insight needed—purely mechanical application of the recurrence formula. |
| Spec | 1.04e Sequences: nth term and recurrence relations |
\begin{enumerate}
\item A sequence is defined by
\end{enumerate}
$$u _ { n + 1 } = \frac { u _ { n } + 1 } { 3 } , \quad n = 1,2,3 , \ldots$$
Given that $u _ { 3 } = 5$,\\
(i) find the value of $u _ { 4 }$,\\
(ii) find the value of $u _ { 1 }$.\\
\hfill \mbox{\textit{OCR C2 Q1 [4]}}