(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 $k$.
Mathematics 9709 · AS & A Level · Series
Determine the $x^2$ and $x^3$ terms in the expansion of $(1 - \tfrac{3}{2}x)^6$.
If the expansion of $(k + 2x)(1 - \tfrac{3}{2}x)^6$ has no $x^3$ term, determine the constant $k$.
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 ${}^6C_2\left(\frac{3x}{2}\right)^2$” …