Mathematics 9709 · AS & A Level · Series

Series — practice question

(a(i))[2]

Write the first three terms, in ascending powers of $x$, for the expansion of $(2 - px)^5$.

(a(ii))[2]

Write the first three terms, in ascending powers of $x$, for the expansion of $(1 - \frac{1}{2}x)^4$.

(b)[3]

If the coefficient of $x^2$ in the expansion of $(2 - px)^5(1 - \frac{1}{2}x)^4$ is 93, determine the possible values of the constant $p$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: The expansion should be $32-80px+80p^2x^2$.

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