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Edexcel A-Level Mathematics A2 P4.4.1 Binomial Series for Any Rational N Questions

Practise Edexcel IAL P4.4.1 binomial expansion: generate terms from the formula, state valid x ranges, and use series for approximations.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
A2

Exam points

  • Generate successive binomial terms using the general expansion formula
  • State the valid range of x for convergence of the binomial series
  • Use the expansion to obtain a rational or decimal approximation

Edexcel A-Level Mathematics A2 P4.4.1 Binomial Series for Any Rational N Questions question 1

[Maximum number: 4]

Find, in ascending powers of x up to and including the term in x3x^{3}, the binomial expansion of

(1−4x)−3∣x∣<14(1-4 x)^{-3} \quad|x|<\frac{1}{4}

fully simplifying each term.

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