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)9308 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.