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O-LevelAdditional MathematicsSeries4037/11 · May/June 2010 · Q25 Marks

Find the first 3 terms of the expansion, in ascending powers of x, of (1 + 3x)6.

  1. (i)Find the first 3 terms of the expansion, in ascending powers of x, of (1 + 3x)6.[2]
  2. (ii)Hence find the coefficient of x² in the expansion of (1 + 3x)6 (1 – 3x – 5x2).[3]

Mark scheme

Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.

  1. [2] (i) B2 for 1 + 18x + 135x^2 (B1 for 2 terms correct, B0 for 0-1 terms correct)
  2. [3] (ii) M1 for a correct method using their (i); A1ft for correct coefficient of x^2 based on their expansion

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About this question

Topic
Series, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, May/June 2010 Paper 1 Variant 1, question 2.

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