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1.7 D: Sequences and series

1.7 D: Sequences and series

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Question 67
a.

Expand (1+4x)−2(1+4x)^{-2}(1+4x)−2 in ascending powers of x x\,x up to and including x3x^3x3

[4]
b.

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

[1]
c.

Use your expansion to find the expansion of 3x−1(1+4x)2\displaystyle \frac{3x-1}{(1+4x)^2}(1+4x)23x−1​ up to and including 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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