OCR MEI C2 — Question 3 5 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Marks5
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TopicArithmetic Sequences and Series
TypeSigma notation: arithmetic series evaluation
DifficultyEasy -1.2 This is a straightforward arithmetic sequence question requiring only basic pattern recognition and application of the standard sum formula. Writing the first 4 terms (4, 7, 10, 13) is trivial, and finding S₁₀₀ uses the direct formula S_n = n/2(2a + (n-1)d) with clearly identified values. No problem-solving or insight required—pure routine application.
Spec1.04e Sequences: nth term and recurrence relations1.04h Arithmetic sequences: nth term and sum formulae
3 A sequence is given by $$\begin{gathered} a _ { 1 } = 4 \\ a _ { r + 1 } = a _ { r } + 3 \end{gathered}$$ Write down the first 4 terms of this sequence.
Find the sum of the first 100 terms of the sequence.
Question 3:
AnswerMarks Guidance
\(4, 7, 10, 13, 16\) ignore extrasB1 For showing \(1^{\text{st}}\) four or \(2^{\text{nd}}\) four terms
\(15250\)B4 B1 for \(d = 3\) soi; B1 for \(a = 4\) soi; M1 for use of \(\frac{100}{2}[2a + 99d]\) o.e.
Total: 5
## Question 3:

$4, 7, 10, 13, 16$ ignore extras | B1 | For showing $1^{\text{st}}$ four or $2^{\text{nd}}$ four terms
$15250$ | B4 | B1 for $d = 3$ soi; B1 for $a = 4$ soi; M1 for use of $\frac{100}{2}[2a + 99d]$ o.e.
**Total: 5**

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3 A sequence is given by

$$\begin{gathered}
a _ { 1 } = 4 \\
a _ { r + 1 } = a _ { r } + 3
\end{gathered}$$

Write down the first 4 terms of this sequence.\\
Find the sum of the first 100 terms of the sequence.

\hfill \mbox{\textit{OCR MEI C2  Q3 [5]}}
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Q1 5 Q2 5 Q3 5 Q4 11