Mathematics 9709 · AS & A Level · Series

Series — practice question

(a)[1]

Expand $(1 + a)^5$ in ascending powers of $a$ as far as and including the term in $a^3$.

(b)[3]

Hence expand $[1 + (x + x^2)]^5$ in ascending powers of $x$ up to and including the term in $x^3$, and simplify your answer.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Expansion in ascending powers: $1+5a+10a^2+10a^3+\dots$” …

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