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Trying to learn basic animation using curve and array modifier and get this to loop

I am a newbie to Blender who is realizing i need to slow down and learn the basics. I can use a curve and array modifier to make an object fill up and follow this curve. I'm assuming there is a way to get this cylinder to appear to be endlessly generating from the origin. Is the only way to do this to set up a procedural animation? I'm pretty confused and especially confused by the procedural stuff. thanks.
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