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Series

Series

Series: A Series of Seriously Simple Series Questions Quiz

Think you’ve got your head wrapped around Series? Put your knowledge to the test. Good luck — the Stickman is counting on you!
Q. Which of the following are series?

(i) 3

(ii) 3 + 4

(iii) 3,4



(ii) only
(iii) only
(i) and (ii)
(i) and (iii)
Q.


13
14
30
31
Q. Determine which series has expanded form



Q. Find the first 3 terms of the sequence of partial sums for the series

.



0,3,6
0,3,9
3,6,9
3,9,18
Q. The infinite sequence  has partial sums Sn given by the formula

Which of the following statements must be true?



 diverges.
 converges to 0.
 converges to some real value L with L ≠ 0.
There isn't enough information to determine if  converges or diverges.
Q. Consider the infinite series  and the following statements:

(I) If  converges then .
(II) If the terms an converge to 0 then  converges.
(III) If the terms an do not converge to 0 then  diverges.

Which statements must be true?



(I) only
(I) and (II)
(I) and (III)
(I), (II), and (III)
Q. If  diverges, what can we say about the behavior of ?


We can't say anything about the behavior of .
 converges.
 diverges.
 may converge or diverge depending on the behavior of .
Q. The Divergence Test says that the series



converges
diverges
may converge, but more investigation is needed
Q. The Divergence Test says that the series



converges
diverges
may converge, but more investigation is needed
Q. The series



converges
diverges
may converge, but more investigation is needed
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