Mathematics 9709 · AS & A Level · Series

Series — practice question

(a(i))[1]

Expand $(1 + 2x)^5$ in powers of $x$ from lowest to highest, including terms up to and including $x^2$.

(a(ii))[2]

Expand $(1 - ax)^6$, where $a$ is a constant, in increasing powers of $x$ up to and including the $x^2$ term.

(b)[4]

In the expansion of $(1 + 2x)^5(1 - ax)^6$, the coefficient of $x^2$ is $-5$. Determine the possible values of $a$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate binomial expansion $1+10x+40x^2$

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