Patterns and Crazy Eights

The title may make you a little confused but don't worry. This post is just about the patterns in a card game called crazy eights. Basically when you play a card with a jack or a four the player after you skips a turn. For some reason I felt like figuring out the pattern if there were infinite jacks and fours. What I did was assume there were three people playing the game and each played a four of spades. This will simply make the next player miss their turn and move onto the next player. Each player is defined with a letter, A, B, and C. As we start with A, B will miss it's turn and it will be C's turn. Then A will miss it's turn and it will be B's turn. Now I noticed a pattern here shown as the following.

A/C
C/B
B/A
A/C
C/B
B/A

The pattern simply skips the next letter and moves onto the next letter. For some reason I felt the need to find this pattern. Anyway thanks for reading this random post! xD