I know that deleting a lot of your own questions will get you banned, but will deleting a lot of your own answers cause a ban? If so what type of ban would it be?
I know that deleting a lot of your own questions will get you banned, but will deleting a lot of your own answers cause a ban?
Probably not. It really depends on what you're trying to do.
There's an automatic ban (similar to the one for questions) that'll kick in if you're fairly new to the site and most of your stuff gets deleted (by you or anyone else). This is really helpful for stopping spammers and the like, but if you start contributing anything of value it's pretty unlikely you'll ever hit it.
Beyond that, there's some rate-limiting built in, and if you hit it the moderators will find out - if it turns out you're rage-quitting (or otherwise deleting good stuff), you'll probably get a short time out and a polite request to stop.
If you're just deleting a few crappy answers here and there while posting more good ones, you should be fine. If you plagiarize the work of Bill's dancing cats, you're in trouble.