One minus one plus one minus one - Numberphile
Discussing the brain-bending Grandi's Series and Thomson's Lamp - featuring Dr James Grime. More links & stuff in full description below ↓↓↓ A little bit of extra footage from the very...
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So today I want to try and bend your brains a little bit today. And I'm hoping it will cause a little bit of debate on the comments, because I know YouTube's the home of rational and informed debate. So I look forward to that. The question is what is this equal to? It's quite a simple sum. It starts with 1. Then I'm going to subtract 1. Then I'm going to add 1 again, then subtract 1, then add 1, then subtract 1, then add 1, then subtract 1. And I'm going to do this forever. You get the idea of that, I hope. So what does that equal to? So one of the answers that it might be is if I put the brackets like this-- here and here and here and here-- you can see each bracket is 1 minus 1 plus 1 minus 1 plus 1 minus 1. Each brack...
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So today I want to try and bend your brains a little bit today. And I'm hoping it will cause a little bit of debate on the comments, because I know YouTube's the home of rational and informed debate. So I look forward to that. The question is what is this equal to? It's quite a simple sum. It starts with 1. Then I'm going to subtract 1. Then I'm going to add 1 again, then subtract 1, then add 1, then subtract 1, then add 1, then subtract 1. And I'm going to do this forever. You get the idea of that, I hope. So what does that equal to? So one of the answers that it might be is if I put the brackets like this-- here and here and here and here-- you can see each bracket is 1 minus 1 plus 1 minus 1 plus 1 minus 1. Each brack...
