OCR MEI C2 2005 June — Question 2 4 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2005
SessionJune
Marks4
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Mark schemeDownload PDF ↗
TopicArithmetic Sequences and Series
TypeSum of first n terms
DifficultyEasy -1.2 This is a straightforward application of the arithmetic series formula requiring only substitution of n=20 into the given nth term formula and using S_n = n/2(first term + last term). It's a single-step calculation with no problem-solving or conceptual challenge, making it easier than average but not trivial since students must recognize which formula to use.
Spec1.04h Arithmetic sequences: nth term and sum formulae

2 The \(n\)th term of an arithmetic progression is \(6 + 5 n\). Find the sum of the first 20 terms.

AnswerMarks Guidance
1170B1 for \(a = 11\) and B1 for \(d = 5\) or \(20^{\text{th}}\) term \(= 106\) and M1 for \(20/2[\text{their}(a) + \text{their}(106)]\) or \(20/2[2\text{their}(a)+(20-1)\times\text{their}(d)]\) OR M1 for \(6\times20\) and M2 for \(5\left(\frac{20}{2}[20+1]\right)\) o.e. 4
1170 | B1 for $a = 11$ and B1 for $d = 5$ or $20^{\text{th}}$ term $= 106$ and M1 for $20/2[\text{their}(a) + \text{their}(106)]$ or $20/2[2\text{their}(a)+(20-1)\times\text{their}(d)]$ OR M1 for $6\times20$ and M2 for $5\left(\frac{20}{2}[20+1]\right)$ o.e. | 4
2 The $n$th term of an arithmetic progression is $6 + 5 n$. Find the sum of the first 20 terms.

\hfill \mbox{\textit{OCR MEI C2 2005 Q2 [4]}}