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