Mathematics 9709 · AS & A Level · Series

Series — practice question

(i)[3]

Determine the $x^2$ and $x^3$ terms in the expansion of $(1 - \tfrac{3}{2}x)^6$.

(ii)[2]

If the expansion of $(k + 2x)(1 - \tfrac{3}{2}x)^6$ has no $x^3$ term, determine the constant $k$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Gets the $x^2$ term by using ${}^6C_2\left(\frac{3x}{2}\right)^2$

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