OCR MEI C2 2006 June — Question 2 3 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2006
SessionJune
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicGeometric Sequences and Series
TypeConvergence conditions
DifficultyModerate -0.8 This is a straightforward application of the sum to infinity formula S = a/(1-r). With both S and a given, it requires only algebraic rearrangement to find r, making it easier than average with minimal problem-solving demand.
Spec1.04j Sum to infinity: convergent geometric series |r|<1
The first term of a geometric series is 8. The sum to infinity of the series is 10. Find the common ratio. [3]
AnswerMarks Guidance
\(r = 0.2\)\(3\) M1 for \(10 = 8/(1 - r)\), then M1 dep't for any correct step 
$r = 0.2$ | $3$ | M1 for $10 = 8/(1 - r)$, then M1 dep't for any correct step | $3$ |
The first term of a geometric series is 8. The sum to infinity of the series is 10.

Find the common ratio. [3]

\hfill \mbox{\textit{OCR MEI C2 2006 Q2 [3]}}
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