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O-LevelMathematicsAlgebra and graphs4024/12 · Oct/Nov 2023 · Q154 Marks

(a) The second term of a linear sequence is 28. The fifth term of the sequence is 16. Find the first term, the third term and the fourth term of this sequence. (b) These are the first five terms of a different sequence. 3 9 19 33 51 Find an expression for the nth term of this sequence.

  1. (a)The second term of a linear sequence is 28. The fifth term of the sequence is 16. Find the first term, the third term and the fourth term of this sequence.[2]
  2. (b)These are the first five terms of a different sequence. 3 9 19 33 51 Find an expression for the nth term of this sequence.[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.

  1. [2] 32
  2. 24
  3. 20
  4. B1 for one correct term in correct position
  5. or M1 for (16-28)/3 oe soi
  6. [2] 2n² + 1 oe final answer
  7. B1 for a quadratic expression in n as answer
  8. or for correct answer seen
  9. or for at least two second differences of 4 seen

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, Oct/Nov 2023 Paper 1 Variant 2, question 15.

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