Can you change a sum by rearranging its numbers The Riemann Series Theorem

Normally when you add up numbers, the order you do so doesn t matter and you get the same sum regardless. And, of course, the same holds true even if you add up infinitely many Right Chapters 0:00 Let s rearrange a sum 1:48 Investigation 6:32 Riemann Series Theorem explained visually 13:58 Resolving objections 18:52 A step further and a challenge 20:07 Significance of the Riemann Series Theorem 21:47 Final thoughts This video is a participant in the 3Blue1Brown First Summer of Math Exposition (SoME1). You can find out more about it here: , SoME1 The animations in this video were mostly made with a homemade Python library called Morpho. I consider it a pretty amateurish tool, but if you want to play with it, you can find it here: