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1.7 D: Sequences and series

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Question 231
a.

Find the first two terms, in ascending powers of uuu, of the binomial expansion of

(1+2u)13 (1 + 2u)^{\frac{1}{3}} (1+2u)31​
[2]
b.

Hence, for small values of xxx, show that

cos⁡3x+1−x23≈A+Bx+Cx2 \cos 3x + \sqrt[3]{1 - x^2} \approx A + Bx + Cx^2 cos3x+31−x2​≈A+Bx+Cx2

where AAA, BBB and CCC are constants to be found.

[5]

1.7 D: Sequences and series Questions

  1. A Level
  2. /Maths
  3. /1.7 D: Sequences and series

Practise AQA A Level Maths 1.7 D: Sequences and series with exam-style questions for A Level Maths. 267 questions 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), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank