Thursday, September 5, 2024

How discover a formula

Twelve people exchange handshakes. After shaking everyone's hand, how many handshakes were given?

I gonna create a smaller universe to discover the formula, of 6 persons:


Here I see that is 5 multiplied by 3, I guess that 5 is the next number to 6 and 3 is 6 divided by 2, but let's make another Universe even smaller, mathematically I can say what is the Universe of my search is a hypothetical, there is not even mathematical universe, is just hypothetical.
So a Universe of 5:
That appear very much with 5 multiplied by 2, so is the 5 persons multiplied by 4 divided by 2.
So the fórmula number of people multiplied by itself less one divided all by 2.
Rute Bezerra de Menezes Gondim









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