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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 81
a.

Expand (9−2x)12\displaystyle (9 - 2x)^{\frac{1}{2}}(9−2x)21​ in ascending powers of x x\,x up to and including the term in 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, with a suitable value of xxx, to find the value of 8.9 \sqrt{8.9}\,8.9​ correct to five significant figures. State the value of x x\,x that you use.

[2]
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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