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(1+2+3+.....+99)*2+100 aratati ca a este patrat perfect


Răspuns :

=[(99*100):2]*2+100=99*100+100= 100*(99+1)= 100*100 = 100 la puterea 2
[tex](1+2+3+...+99)*2+100=\\ \frac{99*100}{\not2}*\not2+100=\\ 100(99+1)=100^2[/tex]