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1.7 D: Sequences and series

1.7 D: Sequences and series

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Question 217
a.

Expand (1+3x)−3(1 + 3x)^{-3}(1+3x)−3 in ascending powers of x x\,x up to and including the term in x3x^3x3.

[3]
b.

Write down the range of values of x x\,x for which the expansion is valid.

[1]
c.

Hence find the expansion of 2x+1(1+3x)3\dfrac{2x + 1}{(1 + 3x)^3}(1+3x)32x+1​ up to and including the term in x3x^3x3.

[3]
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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