Question

A bouncing ball rises to 60% of the height from which it fell. If the ball fell from a 10 foot balcony, express the height "h" in feet as a function of the number of bounces "n".

Answer 1

height after 1st bounce = 10(.6)
height after 2nd bounce = (10(.6))(.6) = 10(.6^2)
height after 3rd bounce = 10(.6^3)
...
height after nth bounce = 10(.6^n)