Geometric Series Quiz

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10 Questions

Which one of the following is the correct equation for a geometric series?

$a + ar + ar^2 + ar^3 + ...$

Which one of the following is an example of a geometric series?

$1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ...$

What is the common ratio in the geometric series $3 + 6 + 12 + 24 + ...$?

3

What is the coefficient of each term in the geometric series $-2 + 4 - 8 + 16 - ...$?

-2

What is the sum of the infinite geometric series $1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ...$?

3

Which one of the following is the correct equation for the sum of an infinite geometric series?

$S = \frac{a}{1-r}$

What is the common ratio in the geometric series $2 + 4 + 8 + 16 + ...$?

4

What is the coefficient of each term in the geometric series $-3 + 6 - 12 + 24 - ...$?

-6

Which one of the following is an example of a geometric series?

$1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ...$

What is the sum of the infinite geometric series $5 + \frac{5}{3} + \frac{5}{9} + \frac{5}{27} + ...$?

$\frac{15}{2}$

Test your knowledge of geometric series with this quiz! Explore the concept of a constant ratio between terms and see if you can identify and solve various geometric series problems. Challenge yourself with different examples and sharpen your math skills.

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