| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Geometric Sequences and Series |
| Type | Find specific nth term |
| Difficulty | Easy -1.2 This is a straightforward application of standard geometric sequence formulas with simple numerical values. Part (i) requires direct substitution into ar^(n-1), and part (ii) uses the sum to infinity formula S = a/(1-r). Both are routine recall questions with minimal calculation complexity. |
| Spec | 1.04i Geometric sequences: nth term and finite series sum1.04j Sum to infinity: convergent geometric series |r|<1 |
| Answer | Marks |
|---|---|
| (iii) www | 1 |
| M1 for \(S = \frac{5.4}{1 - 0.1}\) | 3 |
Question 2:
(ii) $5 \times 10^{-3}$, $0.0054$ or $\frac{5}{1000}$
(iii) www | 1
M1 for $S = \frac{5.4}{1 - 0.1}$ | 32 The first term of a geometric series is 5.4 and the common ratio is 0.1.\\
(i) Find the fourth term of the series.\\
(ii) Find the sum to infinity of the series.
\hfill \mbox{\textit{OCR MEI C2 Q2 [3]}}