| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2012 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Arithmetic Sequences and Series |
| Type | Sigma notation: arithmetic series evaluation |
| Difficulty | Easy -1.8 This is a straightforward recurrence relation question requiring only direct substitution to find u₂ and u₃, recognition that this forms an arithmetic sequence with first term 5 and common difference 3, then application of the standard sum formula S_n = n/2(2a + (n-1)d). All steps are routine recall with no problem-solving or insight required. |
| Spec | 1.04e Sequences: nth term and recurrence relations1.04h Arithmetic sequences: nth term and sum formulae |
2 Find the second and third terms in the sequence given by
$$\begin{aligned}
& u _ { 1 } = 5 \\
& u _ { n + 1 } = u _ { n } + 3 .
\end{aligned}$$
Find also the sum of the first 50 terms of this sequence.
\hfill \mbox{\textit{OCR MEI C2 2012 Q2 [4]}}