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O-LevelAdditional MathematicsSeries4037/12 · Oct/Nov 2024 · Q65 Marks

Find, in descending powers of x, the first 3 terms in the expansion of (x + 2/x²)¹⁰. Simplify each term as far as possible.

  1. (a)Find, in descending powers of x, the first 3 terms in the expansion of (x + 2/x²)¹⁰. Simplify each term as far as possible.[3]
  2. (b)Find the term independent of x in the expansion of (4x² + 1/(2x³))⁸.[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.

  1. [B1] x¹⁰
  2. [B1] 20x⁷
  3. [B1] 180x⁴
  4. [M1] May be implied by working to obtain r = 4
  5. [A1] 1120

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About this question

Topic
Series, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2024 Paper 1 Variant 2, question 6.

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