Expand (3+2x)12\displaystyle (3 + 2x)^{\frac{1}{2}}(3+2x)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 x=0.1x = 0.1x=0.1, to find an approximation for 3.2\sqrt{3.2}3.2. Give your answer to three decimal places.
36 exam-style questions on CCEA A Level Maths 3.3.7 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.