Sum of First N Cubes Equals Square of 1+2+3+...+n | Number Theory

The sum 1^3 + 2^3 + 3^3 + ... + n^3 is equal to (1+2+...+n)^2. Amazing! In today's number theory video lesson, we'll prove this wonderful equality using - you guessed it - induction!

The sum of cubes and the sum of squares are cool, but the sum of cubes and the square of a sum is an even cooler pair!

Here are two proofs for the sum of the first n natural numbers:    • INGENIOUS Way to Add First n Natural ...   and    • Induction Proof for Sum of first n Na...  
Lesson on induction proofs:    • How to Prove by Induction | Proofs  



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

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