Pattern #1: (I think it should have started with 7, not 17)
7 -> 14 either added 7 or multiplied by 2
14 -> 8 subracted 6
8 -> 16 either added 8 or multplied by 2
16 -> 10 subtracted 6
10 -> 20 added 10 or multiplied by 2.
The pattern seems to be multiply by 2, then subtract 6, repeat.
14 -> 28
28 -> 22
Pattern #2:
11 -> 13 added 2
13 -> 16 added 3
16 -> 20 added 4
20 -> 25 added 5
25 -> 31 added 6
31 -> 38 added 7
to finish...
38 + 8 = 46
46 + 9 = 55