Mathematics A H230: Sequences and Series Topical Past Paper Questions

(a) Find and simplify the first three terms in the expansion, in ascending powers of $x$, of $(2 + \frac{1}{3}kx)^{6}$, where $k$ is a constant. [3] (b) In the expansion of $(3-4x)\left(2+\frac{1}{3}kx\right)^{6}$, the constant term is equal to the coefficient of $x^{2}$. Determi…