Find the first 4 terms, in ascending powers of xxx, of the binomial expansion of
(3−x9)9 \left(3 - \frac{x}{9}\right)^9 (3−9x)9giving each term in its simplest form.
Hence find the constant term in the series expansion of
(2+1x)2(3−x9)9 \left(2 + \frac{1}{x}\right)^2 \left(3 - \frac{x}{9}\right)^9 (2+x1)2(3−9x)9Practise 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.