15 YouTube views, likes subscribers in 10 minutes. Free!
A Unique Proof Without Induction
We prove Nicomachus' theorem, that (1^3 + 2^3 + ... + n^3) = (1 + 2 + ... + n)^2. The proof relies on manipulation of summations, rather than induction or geometric reasoning.
00:00 Intro
00:45 Setup
01:36 Double summation
04:43 Evaluating the double summation
Recommended
