This bouncing ball math problem stumps most people — can you solve it?

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Here's a puzzle from The Pyrgic Puzzler by Christopher Maslanka:

You drop a ball from 1 meter high.

Each time it bounces, it rises to half its previous height.

Find the total distance the ball travels (up and down) until it stops.

Previously: This delightful pond puzzle asks you to solve a geometric problem with moral undertones