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aflati numarul natural x daca: 3+6+9+...+297=150x

Răspuns :

3+297 =150x
300=150x
x=2
3+6+9+...+297=150x
3•(1+2+3+...+99)=150•x
3•[99•(99+1):2]=150•x
3•[(99•100):2]=150•x
3•(9.900:2)=150•x
3•4950=150•x
x=14.850:150
x=99