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A-LevelMathematicsSeries9709/32 · Feb/Mar 2018 · Q24 Marks

Expand ∛(1 – 4x) in ascending powers of x, up to and including the term in x³, simplifying the coefficients.

  1. Expand ∛(1 – 4x) in ascending powers of x, up to and including the term in x³, simplifying the coefficients.[4]

Mark scheme

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

  1. [M1] State a correct unsimplified version of the x or x² or x³ term
  2. [A1] State correct first two terms 1 – ⁴⁄₃x
  3. [A1 + A1] Obtain the next two terms − ²⁄₃x² − ¹⁴⁄₂₇x³

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About this question

Topic
Series, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Feb/Mar 2018 Paper 3 Variant 2, question 2.

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