It seems people have very different expectations about what levels should mean, so here's a poll.
Take a 10th level fighter and N 1st level ones. Put them into a fair fight with no environmental effects. How large should N be for the odds to be 50% on the 10th level one dying?
I take it we're
not supposed to crunch the numbers given in any established system, but rather we're supposed to say what we think is realistic?
There's the straight up arithmetic progression:
A level 1 fighter takes on one level 1 guy. A level 2 fighter takes on two level 1 guys. A level 3 fighter takes on 3 level 1 guys.
By level 10, the fighter is only fighting 10 guys. That seems low to me.
Then there's the geometric:
A level 1 fighter takes on one level 1 guy. A level 2 fighter takes on two level 1 guys. A level 3 fighter takes on four level 1 guys. A level 4 fighter takes on eight level 1 guys.
By level 10, the fighter is fighting 512 guys. That seems like a lot to me.
What other sequences are there? How about, let's say Fibonacci's sequence (skipping 0)
Level 1: 1 dude.
Level 2: 1 dude.
Level 3: 2 dudes.
Level 4: 3 dudes.
Level 5: 5 dudes.
Level 6: 8 dudes.
Level 7: 13 dudes.
Level 8: 21 dudes.
Level 9: 34 dudes.
Level 10: 55 dudes. and so on to 89, 144, ...
That feels right to me. I don't know how much it has to do with the actual math so much as a gut feeling, but Fibonacci's sequence seems to fit.