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A-LevelMathematicsSeries9709/33 · May/June 2021 · Q14 Marks

Expand (1 + 3x)⁻² in ascending powers of x, up to and including the term in x³, simplifying the coefficients.

  1. Expand (1 + 3x)⁻² 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 (May/June 2021). The mark or mark type is shown in brackets.

  1. [B1] State correct first two terms 1 + 2x
  2. [M1] Symbolic binomial coefficients are not sufficient for the M mark.
  3. [A1] Obtain the next term -x²
  4. [A1] Obtain the final term 4/3 x³

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About this question

Topic
Series, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, May/June 2021 Paper 3 Variant 3, question 1.

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