Find the binomial expansion of (2−3x)−1(2 - 3x)^{-1}(2−3x)−1 up to and including the term in x2x^2x2, giving each coefficient in its simplest form.
Show that the first three terms of this expansion form a geometric sequence, and state the common ratio.
State, using set notation, the range of values of x x\,x for which the expansion is valid.
200 exam-style questions on CCEA A Level Maths 3.3 Sequences and series (A-level only), covering 3.3.1 Sequences and series (A-level only), 3.3.2 Sequences and series (A-level only), 3.3.3 Sequences and series (A-level only), 3.3.4 Sequences and series (A-level only), 3.3.5 Sequences and series (A-level only), 3.3.6 Sequences and series (A-level only), 3.3.7 Sequences and series (A-level only), and 3.3.8 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.