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1.7 D: Sequences and series

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Question 161
a.

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

(3+kx)5 (3 + kx)^5 (3+kx)5

where kkk is a constant. Give each term in simplest form.

[3]
b.

Given that in the expansion of

(2−x)(3+kx)5 (2 - x)(3 + kx)^5 (2−x)(3+kx)5

the coefficient of x2x^2x2 is 135135135,

find the possible values of kkk.

[4]

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