Mathematics 9709 · AS & A Level · Series

Series — practice question

The first three terms of a geometric progression are $2p + 6$, $5p$ and $8p + 2$, respectively.
(a)[3]

Determine the possible values of the constant $p$.

(b)[4]

One of the values of $p$ found in part (a) is a negative fraction. Use this value of $p$ to determine the sum to infinity of this progression.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Form the correct equation $\frac{5p}{2p+6}=\frac{8p+2}{5p}$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI