Or, in answer to your question,
1-7 is Small front cog, big back. to Small front, small back.
8-14 is middle front and then the rears from big to small again.
15 - 21 is the big front and the rears from big to small.
Hardest gear is big front and small rear.
yes, the numbers matter and it does get harder the higher gear you go. Lower gears are ideally designed to 'get you going' or are for terrain. The idea behind the gearing is to allow you to maintain a god level of speed with the most efficient, less tiring peddling.
When you get used to the gears you tend to only use a small number of them as you find the gears that suit you.
Hope this helps,
K