Mathematics 9709 · AS & A Level · Series

Series — practice question

(a)[1]

Expand the expression $\left(1 - \frac{1}{2x}\right)^2$.

(b)[2]

Find the first four terms of the expansion of $(1 + 2x)^6$, in ascending powers of $x$.

(c)[2]

Hence find the coefficient of $x$ when $\left(1 - \frac{1}{2x}\right)^2 (1 + 2x)^6$ is expanded.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Obtain the correct expansion $1-\frac{1}{x}+\frac{1}{4x^2}$

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