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Aratati ca numarul N=2016+(2+4+6+8+......+4030)este patrat perfect.


Răspuns :

N=2016+(2+4+6+8+...+4030)
N=2016+2(1+2+3+...+2015)
N=2016+2 *2015 *2016/2
N=2016+2015*2016
N=2016(1+2015)
N=2016²
Deci N e patrat perfect.
Sper ca te-am ajutat.