Find, in ascending powers of xxx up to and including the term in x3x^3x3, the binomial expansion of
(1−3x)−2for ∣x∣<13 (1 - 3x)^{-2} \quad \text{for } |x| < \frac{1}{3} (1−3x)−2for ∣x∣<31fully simplifying each term.
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.
