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I'm wondering if facebook accounts get banned if you invite your friends to several fan pages.

For example:
100 accounts suggest fan page "A" to their friends
next day: same 100 accounts suggest fan page "B" to their friends
next day: same 100 accounts suggest fan page "C" to their friends
next day: all 100 account are BANNED

I have experienced this personally on all my accounts. Can anyone back this up?

Try not to invite all of your friends daily. Send them 1-2 invites/week. The process might be slow, but at least you won't lose all of your current progress.

Yeh, no point to invite your friends on your accounts every day to some page, the post above with 1-2 invite/week is correct and suggested by most of the people. Try to have enough accounts to do invites every day but do that with spreading out on your invertory.