| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Geometric Sequences and Series |
| Type | Find sum to infinity |
| Difficulty | Easy -1.2 This question tests basic sequence formulas with straightforward application. Part (i) is a simple arithmetic sequence requiring the formula u_n = u_1 + (n-1)d with clearly given values. Part (ii) is a standard geometric series sum to infinity with an obvious common ratio of 0.4. Both parts are routine recall and direct substitution into standard formulas with no problem-solving or conceptual challenges required. |
| Spec | 1.04h Arithmetic sequences: nth term and sum formulae1.04j Sum to infinity: convergent geometric series |r|<1 |
| Answer | Marks |
|---|---|
| 6 | (i) |
| (ii) | 205 |
| Answer | Marks |
|---|---|
| 3 | 3 |
| 2 | Ml for AP identified with d = 4 and |
| Answer | Marks |
|---|---|
| 5 | 5 |
Question 6:
6 | (i)
(ii) | 205
25
-o.e.
3 | 3
2 | Ml for AP identified with d = 4 and
Ml for 5+ 50dused
2
Ml for r =-o.e.
5 | 5\begin{enumerate}[label=(\roman*)]
\item Find the 51st term of the sequence given by
$$u_1 = 5,$$
$$u_{n+1} = u_n + 4.$$ [3]
\item Find the sum to infinity of the geometric progression which begins
$$5 \quad 2 \quad 0.8 \quad \ldots$$ [2]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 Q6 [5]}}