Find the first three terms, in ascending powers of xxx, of the binomial expansion of
14+x\displaystyle \frac{1}{\sqrt{4 + x}}4+x1
giving each coefficient in its simplest form.
Hence find the first three terms, in ascending powers of xxx, of the binomial expansion of
14−x2\displaystyle \frac{1}{\sqrt{4 - x^2}}4−x21
308 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.