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O-LevelAdditional MathematicsSeries4037/11 · May/June 2015 · Q36 Marks

Find the first 4 terms in the expansion of (2 + x²)⁶ in ascending powers of x.

  1. (i)Find the first 4 terms in the expansion of (2 + x²)⁶ in ascending powers of x.[3]
  2. (ii)Find the term independent of x in the expansion of (2+x²)³(1-3/x²)²[3]

Mark scheme

Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.

  1. [B3,2,1,0] -1 each error
  2. [B1] expansion of (1-3/x^2)^2
  3. [M1] attempt to obtain 2 or 3 terms using their (i)
  4. [A1] = 1072

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About this question

Topic
Series, O-Level Additional Mathematics (syllabus 4037). Structured question, 6 marks.
Source
O-Level Additional Mathematics, May/June 2015 Paper 1 Variant 1, question 3.

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