Dramatards doing the maths

Ok moron. Now try taking the 3rd order difference of 1³, 2³, 3³, 4³, 5³

1st order:

|1 - 8| = 7 ; |8-27| = 19 ; |27-64| = 37 ; |64-125| = 61

🍭 𝟤𝓃𝒹 🌸𝓇𝒹𝑒𝓇 🍭

|7 -19| = 12 ; |19 -37| = 18 ; |37 - 61| = 24

‧͙☆༓｡3𝓻𝓭 𝓸𝓻𝓭𝓮𝓻.｡༓☆‧͙

|12-18| = ☆‧͙𝟞‧͙☆ ; |18-24| = ☆‧͙𝟞‧͙☆

Hope that wasn't too hard for you champ. Even the most braindead student learns this in fricking crayon when they're 9.

You're looking at this the wrong way. If you go by that logic you have to find a new number for every higher order power.

The general rule of power is

(n+1)^k = n^k + X (where x can be calculated via a difference of differences method)

For (n+1)^k the constant difference is found at the k-th difference of differences

And the constant is = (constant for k-1)×k

Constants:

For squares it's 2, found at the just the ordinary difference of differences

For cubes it's 2*3, found at the diff of diff of diff (3rd order)

4th power constant is 6*4 found at the 4th order d-o-d

5th is 24*5 found at the 5th order d-o-d

And so on

!mathematics someone give the generalized algebraic proof to this. It's basic number theory