Geometric Series Answers

Identify a1 and r for the sum of the geometric series. −4, 8, −16, 32,… a1 = r =

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Identify a1, r, and n for the sum of the geometric series. 1 2 + 3 8 + 9 32 + 27 128 + 81 512 a1 = r = n =

Zeno has to go a distance, d, to get to his destination. He claims he can never get there because he has to travel half that distance d, then half of half of distance d, and so on. He says that he has to do an infinite number of tasks and that it is impossible. Use an infinite geometric series to help Zeno. Identify a1 and r to form the infinite geometric series that represents the problem. a1 = d r =

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Write as a fraction in lowest terms:a =

Which series represents this situation?

Check all of the infinite geometric series that converge.

How many curved triangles are in the ninth iteration?

Which geometric series should you use to find the total amount of money after 30 days?

b =

After 7 days, people saw the video.

Check all of the infinite geometric series that diverge.

Check all items included in your explanation.

After 30 days, the total is $.

Add all the distances Zeno would travel each time. How far would Zeno go?

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Write as a fraction in lowest terms:a =