Do you mean the Martingale? Doubling your bets after a loss to claw your money back.
We've got a description of the system here: http://www.onlineroulette.org.uk/?Roulette_Systems:The_Martingale_System
You are sensible to start off with a low bet, as the only problem with this system is the number of losses that you can incur before you hit the table limits. You might think that that is a low probability, but it depends on the roulette table you are playing on.
Say the minimum bet is £1 or $1 or whatever. And the table limit on Outside bets is 150. Your betting profile if you hit a losing streak would be
1,2,4,8,16,32,64,128. Then you would only be able to bet 150. Even if you won the last bet, you wouldn't get your money back.
So you only have to lose 8 times in a row, to start getting into problems here. PLUS, on that last bet, you are will have bet 255 quid just to win 1 quid. The odds are slightly less than 50/50 for you to win. Not a very good return for the risk.
You might think 8 losses in a row? Unlikely. But I have seen 15 reds in a row. I think the record is 20 something.
If you play the Martingale, I recommend you start small and wear a pacemaker! Plat short sessions and take profits early. The longer you play, the more likely you are to lose 8 in a row.