Here are the rules of Sequence.
Loss of Card
Once you have taken your turn and placed your marker chip on the game board, you must take a card from the draw deck. If you fail to take a card before the next player makes a move AND takes his/her card, you lose the right to take a card and you must finish the game with less cards than the other players – a disadvantage.
If a player losses all cards during the course of the game via "Loss of Card", then what should that player do in his/her next turn?
P.S.: I encountered this seemingly unlikely scenario and suggested that the player should draw a card and immediately end his/her turn. The alternative would seem to have that player stop playing altogether.