In real life, if you push a swing or pendulum once and walk away, the object will eventually come to rest. To find the total distance it would travel until it comes to rest, we use a theoretical model- a geometric series. The initial swing is your first term, and you'll need an "r" value, or percent that it swings back on each subsequent part of the path. As long as this "r" value is less than one, we can use the formula for an infinite geometric series to find the swing or pendulum's theoretical total distance traveled.
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