Alternating Series Test
The mathy definition for the alternating series test is as follows:
In other words, an alternating series converges if it’s terms alternate in sign, have a limit of 0, and get smaller and smaller (decrease in magnitude).
The Alternating Series Test only proves convergence. If a test fails one of the requirements, it doesn’t mean that the series diverges. If 
, thee series diverges by the nth Term Test, not by the Alternating Series Test.
Examples
Worked Solutions
Typo: bn is supposed to be an
Try plugging in some values into the original series to see why we can make the substitution at the beginning!
Flipped Math
Flipped Math is an awesome resource with full packets, test prep, and corrective assignments for each lesson!
Math Libretexts
Math LibreTexts is a free online resource packed with textbooks and learning materials for math students. It simplifies complex concepts, provides practice examples, and offers interactive features for convenient learning anytime, anywhere. It’s like a superhero ally for math students, making math easier to understand and excel in.
Paul's Online Notes
Paul’s Online Notes is another amazing resource with in-depth explanations and a few examples. It has a full lesson + proofs as well as practice exercises on the othre two tabs.
Khan Academy
A classic resource for a reason, Khan Academy offers a ton of practice resources with explanatory videos. However, they’re known for being easier than the actual AP test so you might want to supplement with other resources to make sure you’re prepared for test day.