Mathematics 9709 · AS & A Level · Series

Series — practice question

Within the expansion of $(2 + ax)^6$, the coefficient of $x^2$ is the same as the coefficient of $x^3$.
(main)[4]

Find the value of $a$, given that it is a non-zero constant.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Combines combinations and indices correctly to reach $15 \text{ or } \binom{16}{2} \times 2^4 \times (ax)^2$, or a matching equivalent expression.

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