OCR MEI C2 — Question 6 2 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Marks2
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicArithmetic Sequences and Series
TypeRecurrence relation: find specific terms
DifficultyEasy -1.2 This is a straightforward recurrence relation requiring only direct substitution and basic fraction arithmetic. Students simply apply the given formula three times with no problem-solving or insight needed—purely mechanical calculation that's easier than typical A-level questions.
Spec1.04e Sequences: nth term and recurrence relations

6 You are given that $$\begin{aligned} u _ { 1 } & = 1 \\ u _ { n + 1 } & = \frac { u _ { n } } { 1 + u _ { n } } \end{aligned}$$ Find the values of \(u _ { 2 } , u _ { 3 }\) and \(u _ { 4 }\). Give your answers as fractions.

Question 6:
AnswerMarks Guidance
\([1], \frac{1}{2}, \frac{1}{3}, \frac{1}{4}\)2 B1 for \([1], \frac{1}{2}, \frac{1}{3}\)
## Question 6:
| $[1], \frac{1}{2}, \frac{1}{3}, \frac{1}{4}$ | 2 | **B1** for $[1], \frac{1}{2}, \frac{1}{3}$ |
6 You are given that

$$\begin{aligned}
u _ { 1 } & = 1 \\
u _ { n + 1 } & = \frac { u _ { n } } { 1 + u _ { n } }
\end{aligned}$$

Find the values of $u _ { 2 } , u _ { 3 }$ and $u _ { 4 }$. Give your answers as fractions.

\hfill \mbox{\textit{OCR MEI C2  Q6 [2]}}