Mathematics 9709 · AS & A Level · Series

Series — practice question

In the expansion of $(2x + \frac{k}{x})^6$, where $k$ is a constant, the term independent of $x$ is $540$.

((i))[3]

Determine the value of $k$.

((ii))[2]

Using this value of $k$, determine the coefficient of $x^2$ in the expansion.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme.