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Faceti suma toate numerelor naturale care sunt solutii ale inecuatiei:1+2+3+.......+2010+x<=2021061

Răspuns :

1+2+3+4+....+2010=2010*2011\2=1005*2011=2021055
2021055+x∠sau =2021061⇒x∠ sau =2021061-2021055
x∠ sau =6⇒x∈{0,1,2,3,4,5,6}
SUMA=0+1+2+3+4+5+6=21
1+2+3+.....+2010
s=2011+2011+.......+2011
N.t. 2010-1:1+1=2010
2s=2010x2011
2s=4042110
s=4042110:2
s=2021055
x=1,2,3,4,5,  R:1+2+3+4+5=15