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3.3 Sequences and series (A-level only)

3.3 Sequences and series (A-level only)

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Question 112
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

3.3 Sequences and series (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.3 Sequences and series (A-level only)

200 exam-style questions on CCEA A Level Maths 3.3 Sequences and series (A-level only), covering 3.3.1 Sequences and series (A-level only), 3.3.2 Sequences and series (A-level only), 3.3.3 Sequences and series (A-level only), 3.3.4 Sequences and series (A-level only), 3.3.5 Sequences and series (A-level only), 3.3.6 Sequences and series (A-level only), 3.3.7 Sequences and series (A-level only), and 3.3.8 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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