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A-LevelMathematicsSeries9709/12 · May/June 2016 · Q46 Marks

Find the term that is independent of x in the expansion of

  1. (i)(x - 2/x)⁶[2]
  2. (ii)(2 + 3/x²) (x - 2/x)⁶[4]

Mark scheme

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

  1. [B1] Term is ⁶C₃ × (-2)³ = (-)160 ±160 seen anywhere
  2. [B1] -160
  3. [B1] Term in x² = ⁶C₂(-2)² x² = 60 (x²) ±60 seen anywhere
  4. [M1] Term independent of x: = 2 × (their-160) + 3 × (their 60) Using 2 products correctly
  5. [A1] -140

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About this question

Topic
Series, A-Level Mathematics (syllabus 9709). Structured question, 6 marks.
Source
A-Level Mathematics, May/June 2016 Paper 1 Variant 2, question 4.

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