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Find the two possible values for the sum to infinity.
Mathematics 9709 · AS & A Level · Series
Series — practice question
A convergent geometric progression has first term $10$. Let the sum of its first $4$ terms be $p$, and let the sum of its first $8$ terms be $q$. It is given that $\frac{q}{p} = \frac{17}{16}$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Inserting geometric series expressions into $\frac{10(1-r^8)}{1-r}=\frac{17}{16}$.” …
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