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Determinati numarul natural x daca:4+8+12+...+396=200x

Răspuns :

4+8+12+...+396=200x
4 ( 1+2+3+...+99)=200x
4 × [tex] \frac{99*100}{2} [/tex]=200x
4 ×[tex] \frac{9900}{2} [/tex]=200x
4 ×4950=200x
19800=200x
x=19800:200
x=99