Expand (81+54x)14\displaystyle (81 + 54x)^{\frac{1}{4}}(81+54x)41 in ascending powers of x x\,x up to and including the term in x3x^3x3. Give each coefficient as a simplified fraction.
Write down the set of values of x x\,x for which the expansion is valid.
231 exam-style questions on WJEC A Level Maths 3.4 Sequences and Series (A-level only), covering 3.4.1 Sequences and Series (A-level only), 3.4.2 Sequences and Series (A-level only), 3.4.3 Sequences and Series (A-level only), 3.4.4 Sequences and Series (A-level only), 3.4.5 Sequences and Series (A-level only), 3.4.6 Sequences and Series (A-level only), and 3.4.7 Sequences and Series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.