Mathematics 9709 · AS & A Level · Series

Series — practice question

The initial three members of an arithmetic progression are $\frac{p^2}{6}$, $2p - 6$ and $p$.

(a)[3]

Since the common difference of the progression is not zero, determine the value of $p$.

(b)[2]

Using this value, determine the sum to infinity of the geometric progression whose first two terms are $\frac{p^2}{6}$ and $2p - 6$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Form the correct quadratic equation in $p$” …