03/06/2022
Do you know, that the square of the sum of n integers from 1 to n, is equal to the sum of the respective integers' cubes? ๐ตโ๐ซ๐ต๐ฅด
Sounds like a mouthful. Here's some quick examples to consider๐ซ
โ๏ธSay 1+2+3=6. And we take the cubes of 1, 2 and 3. We get 1^3+2^3+3^3=36. Notice, squaring the former (i.e. 6), gives me 36.
โ๏ธSay 1+2+3+4+5=15. And we take the cubes of 1, 2, 3, 4 and 5. We get 1^3+2^3+3^3+4^3+5^3=225. Again, notice, squaring the former (i.e. 15) gives me the latter, 225!
Is this a coincidence?๐ง Or is this a ready proven fact? Leave your comments below!๐