Series True or False

.

What is the third partial sum S₃ of this series? -> 1
True False

If

and

,

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

(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

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

Assume that  diverges and  converges.

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

(I)
(II) 

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