Mathematics 9709 · AS & A Level · Series

Series — practice question

For a geometric progression with common ratio $r$, the first term is $(r^2 - 3r + 2)$ and the infinite sum is $S$.
(i)[2]

Show that $S = 2 - r$

(ii)[2]

Determine the set of values that $S$ may take.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Uses the sum of series formula $S=\dfrac{r^2-3r+2}{1-r}$” …

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