there is 10 people on line. first moves to back of line and second person sits down. If this repeats what is the original position of remaining person?

Question

there is 10 people on line. first moves to back of line and second person sits down. If this repeats what is the original position of remaining person?

Answer 1

 1 2 3 4 5 6 7 8 9 10

 3 4 5 6 7 8 9 10 1          sitting: 2 4 6 8 10 3 7 1 9

 5 6 7 8 9 10 1 3

 7 8 9 10 1 3 5

 9 10 1 3 5 7

 1 3 5 7 9

 5 7 9 1

 9 1 5

 5 9

 5

 position 5 for the last person