Expand (4−5x)12\displaystyle (4 - 5x)^{\frac{1}{2}}(4−5x)21 in ascending powers of x x\,x up to and including the term in x3x^3x3.
Write down the range of values of x x\,x for which the expansion is valid.
Use your expansion, with a suitable value of xxx, to find the value of 3.5 \sqrt{3.5}\,3.5 correct to 5 significant figures.
107 exam-style questions on CCEA A Level Maths 1.3 Sequences and series, covering 1.3.1 Sequences and series and 1.3.2 Sequences and series. Each one has a worked solution and a mark scheme showing where the marks go.