Mathematics 9709 · AS & A Level · Series

Series — practice question

(a)[2]

For a geometric progression, the sum to infinity equals eight times the first term. Determine the common ratio.

(b)[4]

In an arithmetic progression, the fifth term is $197$ and the sum of the first ten terms is $2040$. Determine the common difference.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correctly rearrange $\frac a{1-r}=8a$” …