Early Game Strategies

Well, in the higher levels, the AI outproduces you, so they expand quicker. If you doubled every 10 turns it would be like this:

If you had 1 settler:

City: 1 - 2 - 4 - 8 - 16 - 32 - 64
Turn: 10 - 20 - 30 - 40 - 50 - 60 - 70

If you had 2 settlers:

City: 2 - 4 - 8 - 16 - 32 - 64 - 128
Turn: 10 - 20 - 30 - 40 - 50 - 60 - 70


Granted, numbers aren't going to turn out like that, since it depends on the terrain, and your infrastructure. (2 roads to the next city gets 1 settler there faster. 3 roads wastes turns, and that's 1 less road for settler #2, thus slowing down expansion).
 
Have a look at Cracker's work on the early game in the Strategy articles. Its the nearest thing to the definitive guide and gives you a lot of information about the kind of decisions you need to make and why.
 
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