Mathematics 9709 · AS & A Level · Series

Series — practice question

(i)[1]

Expand $(1 + y)^6$ into ascending powers of $y$ up to and including the term in $y^2$.

(ii)[3]

Within the expansion of $(1 + (p x - 2 x^2))^6$, the coefficient of $x^2$ is $48$. Find the value of the positive constant $p$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A correct expansion that gives $1+6y+15y^2$” …