Bouncing ball

A ball is dropped from a height, and every time it hits the ground, it bounces to 3/5 of the height from which it fell.
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative


A ball is dropped from a height of 125 cm. Each time it hits the ground, it bounces to $\frac{3}{5}$ of the height from which it fell.

How high does it bounce after hitting the ground the third time?

This problem is adapted from the World Mathematics Championships