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5+10+15+...+2000=..........................................................Va rog mult

Răspuns :

[tex]\displaystyle 5+10+15+...+2000=5(1+2+3+...+400)= \\ \\ =5 \times \frac{400(400+1)}{2} =5 \times \frac{400 \times 401}{2} =5 \times \frac{160400}{2} = \\ \\ =5 \times 80200=401000[/tex]