Expand (10−x)12\displaystyle (10-x)^{\frac{1}{2}}(10−x)21 in ascending powers of x x\,x up to and including x3x^3x3.
Write down the range of values of x x\,x for which the expansion is valid.
Use your expansion, with x=2x=2x=2, to find an approximation of the value of 2\sqrt{2}2. Give your answer to 3 decimal places.
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.
