Mathematics 9709 · AS & A Level · Series

Series — practice question

(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 $1.985^5$.

Worked solution & mark scheme

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 $32-120x+180x^2$

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