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3.3 Sequences and series (A-level only)

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Question 8
a.

Find the first three terms of the expansion of (9+2x)−12\displaystyle (9 + 2x)^{-\frac{1}{2}}(9+2x)−21​ in ascending powers of xxx, giving each coefficient in its simplest form.

[4]
b.

The expansion of

a+bx9+2x\displaystyle \frac{a + bx}{\sqrt{9 + 2x}}9+2x​a+bx​

in ascending powers of x x\,x begins 3+x+…3 + x + \dots3+x+…

Find the value of a a\,a and the value of bbb.

[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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