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O-LevelAdditional MathematicsSeries4037/21 · May/June 2013 · Q77 Marks

Find the first four terms in the expansion of (2 + x)⁶ in ascending powers of x.

  1. (i)Find the first four terms in the expansion of (2 + x)⁶ in ascending powers of x.[3]
  2. (ii)Hence find the coefficient of x³ in the expansion of (1 + 3x)(1 - x)(2 + x)⁶.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2013). The mark or mark type is shown in brackets.

  1. [3] (i) 64 + 192x + 240x² + 160x³ mark final answer (B3, 2, 1, 0 means 3 terms correct B2; 2 terms correct B1)
  2. [1] (ii) Multiply out (1 + 3x)(1 −x)
  3. [1] (ii) 1 + 2x - 3x² o.e.
  4. [1] (ii) (1) × (160) + (2) × (240) + (-3) ×(192) o.e.
  5. [1] (ii) 64

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About this question

Topic
Series, O-Level Additional Mathematics (syllabus 4037). Structured question, 7 marks.
Source
O-Level Additional Mathematics, May/June 2013 Paper 2 Variant 1, question 7.

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