We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.
GO TO SAT PREP GO TO ACT PREP
Series

Series

Series: Burgers and Hotdogs: The All Star Examples of Mathematical Series True or False

1. The series  is -> both an arithmetic and a geometric series
2. 0.5, 0.25, 0.125, ... is a(n) -> arithmetic series
3. The nth partial sum of a geometric series is ->
4. Find ->
5. The sum of the infinite geometric series

,

where a ≠ 0, is ->  for |r| < 1, undefined otherwise

6. Find . ->
7. Let a be a constant. If the series  converges then we must have -> |a| < 1
8. We can write the decimal 0.421421421... as a rational number using an infinite geometric series with r = ->
9. Which of the following expressions could be considered to be in "closed form"?

(I) a + ar + ar2 + ... + arn – 1

(II) 

(III)  -> (II) and (III)

10. Every year Leopold puts $500 into his bank account and then earns 5% interest on the total contents of his account. At the end of the first year, his bank account contains $525. How many dollars are in his bank account at the end of the nth year? ->

Submit
Advertisement