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 converges by the Comparison Test. an converges if and only if an ≤ 2bn. We cannot say anything about an . an converges if and only if an ≤ 4bn. an diverges by the Comparison Test. (b) If an < bn for all n, what can you say about an ? Why? an converges if and only if bn 4 ≤ an ≤ bn. an converges if and only if bn 2 ≤ an ≤ bn. an converges by the Comparison Test. an diverges by the Comparison Test. We cannot say anything about an .

30 points! here is a you are the new manager at trusty goods wholesale produce. you need to figure out how to adjust the amount of produce in your notes after the events of the day: you got 5 more crates of bananas someone returned 2 crates of apples a worker dropped a crate of grapes (oh no! , you had to throw them out) you sold a crate of bananas you sold 5 crates of apples can you write an expression to describe your day using: "a" for crates of apples "b" for crates of bananas and "g" for crates of grapes? make sure the expression is in simplest form question 2 (3 points) explain your steps using sentences.