Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.

a. The terms of the sequence {an}increase in magnitude, so the limit of the sequence does not exist.

b. The terms of the series approach zero, so the series converges.

c. The terms of the sequence of partial sums of the series ∑ak approach 5/2, so the infinite series converges to 5/2.

d. An alternating series that converges absolutely must converge conditionally.