Find the first four terms, in ascending powers of xxx, of the binomial expansion of
(1−14x)8\left(1 - \frac{1}{4}x\right)^8(1−41x)8giving each term in simplest form.
Hence find the coefficient of x3x^3x3 in the expansion of
(4x+5)(1−14x)8(4x + 5)\left(1 - \frac{1}{4}x\right)^8(4x+5)(1−41x)8giving the answer in simplest form.
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.
