Geometric Series Answers

b =

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

⇒ -2

Question text not available

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 =

Question text not available

Question text not available

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 =

Question text not available

Write as a fraction in lowest terms:a =

b =

b = ⇒ 111

Which series represents this situation?

After 7 days, people saw the video.

Explain why a geometric series with a ratio between zero and one converges and how you find the sum.