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# Series

# Series: A Series of Seriously Simple Series Questions Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Series**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

*S*given by the formula_{n}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 *a _{n}* converge to 0 then converges.

(III) If the terms

*a*do not converge to 0 then diverges.

_{n}Which statements must be true?

(I) only

(I) and (II)

(I) and (III)

(I), (II), and (III)

Q. If , 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