Find the first four terms, in ascending powers of xxx, of the binomial expansion of 1+6x\sqrt{1 + 6x}1+6x, giving each term in its simplest form.
Explain how you could use x=112\displaystyle x = \frac{1}{12}x=121 in your expansion to find an approximation for 6\sqrt{6}6. There is no need to carry out the calculation.
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.