(a)[3]
Find the first three terms of $(2 - \tfrac{3}{2}x)^5$ in ascending powers of $x$.
(b)[3]
Use the result from part (a), together with an appropriate value of $x$, to obtain an approximation for $1.985^5$.
Mathematics 9709 · AS & A Level · Series
Find the first three terms of $(2 - \tfrac{3}{2}x)^5$ in ascending powers of $x$.
Use the result from part (a), together with an appropriate value of $x$, to obtain an approximation for $1.985^5$.
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate coefficients in the expansion leading to $32-120x+180x^2$” …