@Develobbert,
All of these are sequences from ABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789 repeating.
The fourth number looks like 4 (every other number from Y Z 0 1 2 3 4)
The fifth looks like 8 (from 6 7 8 9 A B C)
The sixth looks like it is from B (from a series that includes all the letter and the numbers 0-9)
The seventh looks like 5 from (
H G F E
D C B A
9 8 7 6
5)
Eighth is also 5
Ninth is zero
I leave the tenth to you.