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1.7 D: Sequences and series

1.7 D: Sequences and series

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Question 210
a.

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

(2+kx)6 (2 + kx)^6 (2+kx)6

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

[3]
b.

The population PPP of a bacterial culture is modeled for small time intervals xxx by the expression

(5−2.5x)(2+kx)6 (5 - 2.5x)(2 + kx)^6 (5−2.5x)(2+kx)6

where kkk is a growth constant. Given that the coefficient of x2x^2x2 in the expansion of this expression is 606060, find the possible values 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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