INGENIOUS Way to Add First n Natural Numbers (1+2+3+...+n) | Number Theory

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How do we add 1 + 2 + 3 + ... + n, the first n counting numbers? Is there a quick way to perform this calculation? We'll see an ingenious method/explanation for deriving the formula for the sum of the first n counting numbers in today's number theory video lesson!

Keep your eyes peeled for the lesson on the induction proof of this result coming out soon!

The Prince of Mathematicians, Carl Gauss, supposedly solved a similar problem as a young boy in school nearly instantly when the teacher assigned it to the class to keep them all busy. There is much speculation about the truth and details of this story, but supposedly Gauss himself did enjoy telling it on occasion, so some embellishments may have been passed down from him!

I hope you find this video helpful, and be sure to ask any questions down in the comments!

+WRATH OF MATH+

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Man, this was beautiful. It gets intuitive when you start by showing that S100+S100=100x101 😊👌

MindMathMoney
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So helpful! I must've missed the memo on First n Natural Numbers but thanks for the clear explanation!

RomeFG
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I LOVE ALL OF YOUR VIDEOS 😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭

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