Mathematics 9709 · AS & A Level · Series

Series — practice question

A geometric progression has second term $54$ and sum to infinity $243$, while its common ratio is greater than $\tfrac{1}{2}$.

(main)[5]

Determine the tenth term, and give your answer exactly.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Set up $ar=54$ and $\dfrac{a}{1-r}=243$.” …