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1.7 D: Sequences and series

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Question 49

In a precision chemical synthesis, the concentration CCC, in moles per litre, of a specific reagent is modelled by the function C(x)=(12−4x)10C(x) = \left( \frac{1}{2} - 4x \right)^{10}C(x)=(21​−4x)10 for 0≤x<0.1250 \le x < 0.1250≤x<0.125, where xxx represents the mass in grams of a stabilizer added.

Determine the first four terms, in ascending powers of xxx, of the binomial expansion of C(x)C(x)C(x). Give each coefficient as a simplified fraction or an integer.

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Markscheme

1.7 D: Sequences and series Questions

  1. A Level
  2. /Maths
  3. /1.7 D: Sequences and series

308 exam-style questions on AQA A Level Maths 1.7 D: Sequences and series, covering 1.7.1 Binomial expansion, 1.7.2 Types of sequence (A-level only), 1.7.3 Sigma notation (A-level only), 1.7.4 Arithmetic sequences and series (A-level only), 1.7.5 Geometric sequences and series (A-level only), and 1.7.6 Sequences and series in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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