OCR MEI Paper 1 Specimen — Question 2 3 marks

Exam BoardOCR MEI
ModulePaper 1 (Paper 1)
SessionSpecimen
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicGeometric Sequences and Series
TypeFind first term from conditions
DifficultyModerate -0.8 This is a straightforward application of the sum to infinity formula S_∞ = a/(1-r). Given a=3 and S_∞=8, students simply substitute and solve 8 = 3/(1-r) for r, requiring only basic algebraic manipulation. It's easier than average as it's a direct single-step application with no conceptual challenges.
Spec1.04j Sum to infinity: convergent geometric series |r|<1
2 A geometric series has first term 3. The sum to infinity of the series is 8 .
Find the common ratio.
Question 2:
AnswerMarks Guidance
\(\frac{3}{1-r} = 8\)M1 (1.1) Use of correct formula
\(\Rightarrow 3 = 8(1-r)\)M1 (1.1) Clearing fraction
\(\Rightarrow r = \frac{5}{8}\)A1 (1.1)
Total: [3]
## Question 2:

$\frac{3}{1-r} = 8$ | M1 (1.1) | Use of correct formula
$\Rightarrow 3 = 8(1-r)$ | M1 (1.1) | Clearing fraction
$\Rightarrow r = \frac{5}{8}$ | A1 (1.1) |
**Total: [3]**

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2 A geometric series has first term 3. The sum to infinity of the series is 8 .\\
Find the common ratio.

\hfill \mbox{\textit{OCR MEI Paper 1  Q2 [3]}}
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