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Cum se rezolva acesta operatie 4+8+12+.....+1996

Răspuns :

Andreeapba
4+8+12+-----+1996=4(1+2+3+-----499)=4*124750=499000
1+2+3+----+499=499(499+1)/2=499*500/2=499*250=124750
[tex]\displaystyle 4+8+12+...+1996=4(1+2+3+...+499)=4 \times \frac{499(499+1)}{2} = \\ \\ =4 \times \frac{499 \times 500}{2} =4 \times \frac{249500}{2} =4 \times 124750=499000[/tex]

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