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1.7 D: Sequences and series

1.7 D: Sequences and series

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Question 159
a.

Find the first 4 terms, in ascending powers of xxx, of the binomial expansion of

(3+kx9)6 \left(3 + \frac{kx}{9}\right)^6 (3+9kx​)6

where kkk is a non-zero constant. Give each term in its simplest form.

[4]
b.

Given that

f(x)=(4+2x)(3+kx9)6 f(x) = (4 + 2x)\left(3 + \frac{kx}{9}\right)^6 f(x)=(4+2x)(3+9kx​)6

and that in the expansion of f(x)f(x)f(x), the coefficient of xxx is equal to the constant term, find the value of kkk.

[4]
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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