| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2010 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Arithmetic Sequences and Series |
| Type | Find term or common difference |
| Difficulty | Easy -1.3 This question tests basic recall of arithmetic and geometric sequence formulas with no problem-solving required. Part (i) is a straightforward arithmetic sequence requiring the formula u_n = u_1 + (n-1)d. Part (ii) is a standard geometric series sum to infinity with clearly given terms where students simply identify r = 0.4 and apply S_∞ = a/(1-r). Both parts are routine textbook exercises well below average A-level difficulty. |
| Spec | 1.04h Arithmetic sequences: nth term and sum formulae1.04j Sum to infinity: convergent geometric series |r|<1 |
\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 2010 Q6 [5]}}