OCR MEI C2 — Question 3 3 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicGeometric Sequences and Series
TypeFind sum to infinity
DifficultyModerate -0.8 This is a straightforward application of the sum to infinity formula S∞ = a/(1-r), requiring only algebraic rearrangement to solve for r given S∞=5 and a=2. It's easier than average as it's a direct one-step formula application with no conceptual challenges, though not trivial since students must recall and manipulate the formula correctly.
Spec1.04j Sum to infinity: convergent geometric series |r|<1

3 The sum to infinity of a geometric series is 5 and the first term is 2 .
Find the common ratio of the series.

Question 3:
AnswerMarks Guidance
\(5 = \frac{a}{1-r}\)M1
\(\Rightarrow 1-r = \frac{2}{5}\)A1
\(\Rightarrow r = \frac{3}{5}\)A1 Total: 3
## Question 3:

$5 = \frac{a}{1-r}$ | M1 |

$\Rightarrow 1-r = \frac{2}{5}$ | A1 |

$\Rightarrow r = \frac{3}{5}$ | A1 | **Total: 3**

---
3 The sum to infinity of a geometric series is 5 and the first term is 2 .\\
Find the common ratio of the series.

\hfill \mbox{\textit{OCR MEI C2  Q3 [3]}}