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Fie functia f: R - R , f(x)= x+1
Aratati ca numarul A= 2012 + 2 · ( f (0) + f(1) + ... + f( 2010) ) este patrat perfect


Răspuns :

A=2012+2(1+2+3+...+2011)=2012+2(2011*2012)/2=2012+2011*2012=
2012(1+2011)=2012*2012=2012²