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1.7 D: Sequences and series

1.7 D: Sequences and series

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Question 37

The expression (1+5x)−3(1 + 5x)^{-3}(1+5x)−3 is expanded as a binomial series in ascending powers of xxx.

State the range of values of x x\,x for which the expansion is valid.

Tick one box.

A

∣x∣<15|x| < \frac{1}{5}∣x∣<51​

B

∣x∣<13|x| < \frac{1}{3}∣x∣<31​

C

∣x∣<3|x| < 3∣x∣<3

D

∣x∣<5|x| < 5∣x∣<5

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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