Question 9 - A-Level Maths

OCR MEI C2 — Question 9 3 marks

Exam Board	OCR MEI
Module	C2 (Core Mathematics 2)
Marks	3
Paper	Download PDF ↗
Mark scheme	Download PDF ↗
Topic	Geometric Sequences and Series
Type	Convergence conditions
Difficulty	Moderate -0.5 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 slightly easier than average but still requiring knowledge of the specific formula.
Spec	1.04j Sum to infinity: convergent geometric series \|r\|<1

A geometric progression has 6 as its first term. Its sum to infinity is 5. Calculate its common ratio. [3]

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Question 9:

Answer	Marks	Guidance
9	−0.2	3

M1 for 5= and M1 dep for correct

1−r

Answer	Marks
constructive step	3

Question 9:
9 | −0.2 | 3 | 6
M1 for 5= and M1 dep for correct
1−r
constructive step | 3

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A geometric progression has 6 as its first term. Its sum to infinity is 5.

Calculate its common ratio. [3]

\hfill \mbox{\textit{OCR MEI C2  Q9 [3]}}

This paper (9 questions)

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Q1 12 Q2 5 Q3 5 Q4 5 Q5 5 Q6 5 Q7 5 Q8 5 Q9 3