Since we’re on the topic, I’ll share another interesting fact I recently learned.
1^2 = 1^3
(1 + 2)^2 = 1^3 + 2^3
(1 + 2 + 3)^2 = 1^3 + 2^3 + 3^3
...
(1 + .... + n)^2 = 1^3 + ... + n^3
You can continue this indefinitely. I suggest you verify whether it’s true or false...