as a student of almost every comptia certification, i must say that if you work at A+, you'll obtain more knowledge than if you have had computer skills since you were 7 years old (like i did). i learned a lot more useful stuff, and i often have my fiance calling me to troubleshoot a problem that he thinks he can figure out (he spends hours at it), and i solve the issue in a matter of minutes.
network+ also is useful, and if you want to go to the next step, cisco CCNA is a good way to go.
security+ imo is a bunch of bull... it's a useful course, don't get me wrong, but the money you need to pay to get certified is just a little too much. it's basic knowledge (e.g. make sure you change your passwords and have them alphanumeric). there's also some focus on microsoft security and policies and even certificates, but it's stuff you can learn on your own.
as for A+ and net+, it's useful knowledge for sure. even security+ is useful. but there's a lot of stuff that you'll never need beyond the test (unless you just happen to be unlucky and find yourself in a very rare situation)