Use inductive reasoning to predict the most probable next number in the list.
3, 9, −3, 3, −9, −3, −15, −9, −21, ?

Use the ratio test to determine whether ∑n=14∞n+2n! converges or diverges. (a) find the ratio of successive terms. write your answer as a fully simplified fraction. for n≥14, limn→∞∣∣∣an+1an∣∣∣=limn→∞.