Theory of Relative Squares

[fl3tching101]

Thor, the format is the format which was taught to us in our Advanced Algebra class (I literally went and got my binder and took out the notes on Mathematical Induction), so the format is at least one of possibly many formats for Mathematical Induction, however towards the end I did pretty much just start trying to fit something that worked in, because I too never got my head around it, and I know it should work for any natural number. Your method seems to work as well, my method should work, though not exactly perfect, and I'm not sure that using Mathematical Induction is the best way to use Mathematical Proof for this theory. And again, just like you, I've always had trouble with Mathematical Induction and don't like it at all, seems to just be using like anything that can make it look true to prove something... Point is, it is true for all natural numbers, no matter how you'd like to prove it.