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O-LevelAdditional MathematicsSeries4037/11 · May/June 2018 · Q96 Marks

Find the first 3 terms in the expansion of ( 2x - 1/(16x) )⁸ in descending powers of x.

  1. (i)Find the first 3 terms in the expansion of ( 2x - 1/(16x) )⁸ in descending powers of x.[3]
  2. (ii)Hence find the coefficient of x⁴ in the expansion of ( 2x - 1/(16x) )⁸ ( 1/x² + 1 )².[3]

Mark scheme

Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.

  1. [B1] for each term
  2. [B1] for (1/x^4 + 2/x^2 + 1)
  3. [M1] M1 for three correctly obtained products leading to terms in x⁴ using their 256x⁸ - 64x⁶ + 7x⁴ and their (1/x⁴ + 2/x² + 1)
  4. [A1] 135

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About this question

Topic
Series, O-Level Additional Mathematics (syllabus 4037). Structured question, 6 marks.
Source
O-Level Additional Mathematics, May/June 2018 Paper 1 Variant 1, question 9.

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