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1.7 D: Sequences and series

1.7 D: Sequences and series

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Question 242
a.

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

(1−14x)8\left(1 - \frac{1}{4}x\right)^8(1−41​x)8

giving each term in simplest form.

[4]
b.

Hence find the coefficient of x3x^3x3 in the expansion of

(4x+5)(1−14x)8(4x + 5)\left(1 - \frac{1}{4}x\right)^8(4x+5)(1−41​x)8

giving the answer in simplest form.

[2]
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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