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The common ratio in the geometric progression is $0.99$. Write the sum of the first $100$ terms as a percentage of the sum to infinity, and give the result correct to $2$ significant figures.
Mathematics 9709 · AS & A Level · Series
Series — practice question
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply the geometric series sum formula $S_n=\frac{a(1-r^n)}{1-r}$ together with $S_\infty=\frac{a}{1-r}$” …
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