Rohan dropped a lacrosse ball from a building. After each bounce, the height of the ball is measured and recorded in the table.

Bounce Number Height (cm) After Bounce
1 10,240
2 2,560
3 640
4 160
Write an explicit and recursive formula to represent the sequence of the height of the ball after each bounce.

What is the height of the ball after bounce 8? Explain your answer by using one of the formulas you created.