If a girl seems like she isn't interested, should a guy continue to be persistent in getting her?

It really depends on how long you've been persisting. If she still doesn't seem to like you, I would leave her alone because it would annoy her more. If in the future she ever has interest in you let her do the chasing for once.

It depends. Some guys don't know the difference in between persistent and annoying.

It really depends on the girl and what you mean when you say she doesn't seem like she's interested in you. If she's being flirty and a little coy then she's probably playing hard to get. But if she's half way to a restraining order and avoiding you on the street, then I think it's time to move on.

No!!! I know from personal experience that when I guy I'm not interested in in that way keeps bugging me it annoys me and make me hate being around him and just annoyed!!

If she's not interested she's again yes NOT interested!

Also make the signs visible she might have not even seen you yet!