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- Let $a$ and $r$ have their usual meanings. The sum of the first $n$ terms of a geometric series can be given by $\cdots$?

- What is the sum of the first $10$ terms of the geometric series $1+2+4+8+\cdots$?

- Find the sum of the geometric series $2+6+18+54+\cdots+4374$

- A geometric series has $a=3$ and $r=4$. How many terms must be taken so that $S_{n}=16,777,216$?

- Find the sum of the series $2+(-4)+8+(-16)+\cdots+2048$

- What is the sum of the first $12$ terms of the series $2+1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\cdots$?

- If a geometric series is such that $r-a=1$, then the sum of the first $n$ terms is $\cdots$?

- Find the sum of the first $8$ terms of the series $\frac{1}{3}+\frac{2}{9}+\frac{4}{27}+\frac{8}{81}+\cdots$

- Find the sum of the first $9$ terms of the series $3+(-3)+3+(-3)+3+\cdots$

- What is the common ratio of a geometric series in which $a=2$ and $S_{10}=29524$?