Ten people stand in a line. the first goes to the back and the next sits down, so the person who was third in line is now first in line. now that person sits and the other sits. the proses is repeated until only one person remains. what was the original position of the only remaining person

Ian is in training for a national hot dog eating contest on the 4th of july. on his first day of training, he eats 4 hot dogs. each day, he plans to eat 110% of the number of hot dogs he ate the previous day. write an explicit formula that could be used to find the number of hot dogs ian will eat on any particular day.