Hi can someone help me with the problem below

A ball is thrown upward to a height of 30 meters and returns to the ground. After each bounce, the ball returns to a height that is 90% of its earlier height. Theoretically, the ball should come at rest after infinitely many bounces.

1.What is the geometric series that adds the vertical distances covered by the bouncing ball?

2.What is the total vertical distance the ball covers before it comes to rest?