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O-LevelMathematicsAlgebra and graphs4024/12 · May/June 2016 · Q255 Marks

The nth term of a sequence is given by n² – 5n. Find the 2nd term in the sequence.

  1. (a)(i)The nth term of a sequence is given by n² – 5n. Find the 2nd term in the sequence.[1]
  2. (a)(ii)The pth term in the sequence is 150. Find the value of p.[2]
  3. (b)The nth term of another sequence is given by 3n² – kn. The 5th term in this sequence is 55. Find the value of k.[2]

Mark scheme

Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.

  1. [1] (a) (i) -6
  2. [2*] (a) (ii) 15 C1 for 15^2 - 5 × 15 or for 15, -10 OR M1 for (p + 10)(p – 15) [= 0]
  3. [2*] (b) 4 B1 for 3 × 5^2 - 5k = 55 oe

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 5 marks.
Source
O-Level Mathematics, May/June 2016 Paper 1 Variant 2, question 25.

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