My last pregnancy. I actually bled heavy then it turned to brown discharge for a really long time. It didn't stop until I was like 6 or 7 months. But my 3 yr old is happy and healthy.
I had it all the way through 10weeks scared the cap out of me, it's supposedly normal though. Just make sure your Dr knows, mine monitored me closely until it stopped. As long as it doesn't turn bright red and cramps you should be ok