Is there any way to prove that: $$ 1^2+2^2+3^2+\ldots +n^2=\frac{n(n+1)(2n+1)}{6}$$ but WITHOUT using mathematical induction? (I don't know, maybe through some creative graphical demonstration?)
2026-04-25 02:18:03.1777083483
How to sum $\sum_{k=1}^{n}n^2$ WITHOUT induction?
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Yes, there is a graphic proof by Man-Keung Siu, appeared in: Mathematics Magazine March, 1984