1.
The graph below shows the first 4 terms of the series

.

What is the third partial sum S _{3} of this series? -> 1
True
False

2.
Consider the two series and .

If

and

,

the divergence test tells us that -> a diverges and B may either diverge or converge.
True
False

3.
Consider the series . In order to use the Alternating Series Test, which of the following conditions must apply?

(I) must be an alternating series (II) |a _{n + 1} | < |a_{n} | (III) |a _{n + 1} | > |a_{n} | (IV) \ -> I, II, and IV
True
False

4.
Consider the alternating series

What is the error bound for the 5th partial sum? ->
True
False

5.
Which series can not have its convergence or divergence determined by using the ratio test? ->
True
False

6.
Consider the picture shown below.

Assume that diverges and converges.

Which of the following statements is true? -> The series converges.
True
False

7.
Consider two series:

(I) (II)

By using the comparison test with the harmonic series for comparison, we can show that -> neither (I) nor (II) diverge
True
False

8.
Suppose and both converge. Then -> converges
True
False

9.
Which convergence/divergence test should be tried first? -> the divergence test
True
False

10.
The series -> diverges by comparison with
True
False