Mathematics 9709 · AS & A Level · Series

Series — practice question

When $(3 - 2x)\left(1 + \frac{x}{2}\right)^n$ is expanded, the coefficient of $x$ is $7$.
(main)[6]

Determine the constant $n$ and therefore determine the coefficient of $x^2$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Uses the binomial expansion to identify the term in $x$ as $\frac{nx}{2}$.

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