What distance is covered in the initial drop?

What is 4/5 of this distance? (This is the height reached after the first bounce.)

What is 4/5 of this first-bounce distance? (This is the height reached after the second bounce.)

Keep going until you see a pattern or until you reach the value for after the tenth bounce.

Are you supposed to use statistical software to find an exponential regression for this?

Please reply showing your work and reasoning so far. Thank you!