(a)[3]
Expand $(2-\frac{1}{2}x)^6$ and write the result in ascending powers of $x$ up to and including the term in $x^3$.
(b)[2]
Hence determine the coefficient of $x^3$ in the expansion of $(3-x+2x^3)(2-\frac{1}{2}x)^6$.
Mathematics 9709 · AS & A Level · Series
Series — practice question
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct unsimplified expansion containing at least four terms of $\left(2-\frac{x}{2}\right)^6$” …
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