Suppose an and bn are series with positive terms and bn is known to be convergent. (a) if an > bn for all n, what can you say about an ? why? an diverges by the comparison test. an converges if and only if an ≤ 2bn. an converges if and only if an ≤ 4bn. an converges by the comparison test. we cannot say anything about an . (b) if an < bn for all n, what can you say about an ? why? an converges if and only if bn 4 ≤ an ≤ bn.