Math: The quadratic saga - Ep. 4 (last episode!)

Today is the final revelation! I have no idea about what is going to be my next topic. I guess I am going to have more time to think about it now that I'm in vacations. Probably I am doing something about prime numbers. I know it is really difficult, although if everybody thinks like that we will never get an answer.

We had:

n² = 2[(n-1) + (n-2) + (n-3) + ... (n-n)] + n


and this leads us to... Wait. First I would like to say that this last chapter wasn't so fast as I am presenting here. I developed to much the formula and a 'n²' appeared. From that point on, I had to ask for help to my math teacher - maybe there was someway to remove that squared that required advanced math. I talked to the teacher and she gave me the solution. Some days passed and I saw that I was really close, but I passed a little bit the "climax" of the formula.

Continuing, and this leads us to:

This is the end of this story. Soon I am posting about my next topic... which I guess will be prime numbers