OCR MEI C2 — Question 1 5 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicArithmetic Sequences and Series
TypeFind term or common difference
DifficultyStandard +0.3 This is a straightforward two-equation system using standard AP formulas (nth term and sum). Students substitute given values, solve simultaneously for a and d, then find the required term. Slightly above routine due to the algebraic manipulation required, but still a standard textbook exercise with no conceptual challenges.
Spec1.04h Arithmetic sequences: nth term and sum formulae
1 The 7th term of an arithmetic progression is 6. The sum of the first 10 terms of the progression is 30. Find the 5th term of the progression.
Question 1:
AnswerMarks Guidance
\(a + 6d = 6\) correctM1
\(30 = \frac{10}{2}(2a + 9d)\) correct o.e.M1
Elimination using their equationsM1ft
\(a = -6\) and \(d = 2\)A1 Two equations in \(a\) and \(d\)
5th term \(= 2\)A1
Total: 5
## Question 1:

$a + 6d = 6$ correct | M1 |
$30 = \frac{10}{2}(2a + 9d)$ correct o.e. | M1 |
Elimination using their equations | M1ft |
$a = -6$ and $d = 2$ | A1 | Two equations in $a$ and $d$
5th term $= 2$ | A1 |
**Total: 5**

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1 The 7th term of an arithmetic progression is 6. The sum of the first 10 terms of the progression is 30.

Find the 5th term of the progression.

\hfill \mbox{\textit{OCR MEI C2  Q1 [5]}}
This paper (4 questions)
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Q1 5 Q2 5 Q3 5 Q4 11