# How does an infinite geometric series apply to being pushed on a swing?

##### 1 Answer

Sep 29, 2014

If you wish to find the total horizontal distance traveled by you on a swing after a big initial push assuming that the amplitude of each swing decreases at a fixed rate. We can think of the total distance as the sum of a geometric series.

Assume that the initial push gives you a 3 m swing and that a swing is

In theory, the total horizontal distance is

I hope that this was helpful.