Think you’ve got your head wrapped around Series? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. The graph below shows the first 4 terms of the series
.
What is the third partial sum S3 of this series?
1
2
4
7
Q. Consider the two series 
and 
.
and .If
and
,
the divergence test tells us that
Both A and B converge.
A diverges and B converges.
A diverges and B may either diverge or converge.
A may either diverge or converge and B converges.
Q. Consider the series . In order to use the Alternating Series Test, which of the following conditions must apply?
. In order to use the Alternating Series Test, which of the following conditions must apply?(I) must be an alternating series
(II) |an + 1| < |an|
(III) |an + 1| > |an|
(IV) 
I only
I and IV
I, II, and IV
I, III, and IV
Q. Consider the alternating series
What is the error bound for the 5th partial sum?
Q. Which series can not have its convergence or divergence determined by using the ratio test?
Q. Consider the picture shown below.
Assume that 
diverges and 
converges.
Which of the following statements is true?
The series 
converges.
converges. The series 
diverges.
diverges. The series 
converges.
converges. The series 
diverges.
diverges. Q. Consider two series:
(I) 
(II) 
By using the comparison test with the harmonic series for comparison, we can show that
(I) diverges
(II) diverges
both (I) and (II) diverge
neither (I) nor (II) diverge
Q. Suppose 
and 
both converge. Then
and both converge. Then 
converges The series 
converges.
converges. both 
and 
converge
and converge we do not know if either 
or 
converge
or converge Q. Which convergence/divergence test should be tried first?
the divergence test
the ratio test
the integral test
the comparison test
Q. The series 
converges by comparison with 
diverges by comparison with 
converges by comparison with 
diverges by comparison with 