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## Xerxes on Xardu

On the planet Xardu, balls bounce in an unusual way.

Xerxes, a mischievous Xardutian, drops a ball from a window that is 40 meters off the ground. With the Nth bounce, it bounces up 1/N of the total distance.

The first bounce is (1/1)(40) = the entire 40 meters.

The second bounce is (1/2)(40) = 20 meters.

The third bounce is (1/3)(40) = 40/3 meters, etc.How many meters will the ball have travelled (both up and down) after 10 bounces?

See the solutions