User:Rodiiio/sandbox/Adding square roots to squares to find next number in sequence

This is just a pattern that I noticed one day while calculating squares. The equation used would be identical to the sum of 2 squares n^2+2n+1=(n+1)^2 if written literally as an equation. For example, 2^2=4 and 3^2=9 if you take the original number, 2, add the product of it squared, 4, and then add the following whole number, 3, the sum of these three addends is 9, which is also the product of 3 squared. 2^2+2(2)+1=9 you would square your original number subbed in for n to find the product of the square of the next whole number. The application is more useful once you reach higher numbers, 12^2 + 12 + 13 = 13^2, 144 + 12 + 13 = 169