Question

2supra501+4supr501+.....1000supra501

Answer 1

ignoram numitorul si face suma numaratorilor
2+4+6+...+1000
1000+998+996+....+2
1002+1002+1002+...+1002 de 500 de ori
1002*500/2
1002*250=250500

Answer 2

[tex]\frac{2}{501}+\frac{4}{501}+\frac{6}{501}+...+\frac{1000}{501}=\\ \frac{2}{501}(1+2+3+.....+500)=\\ \frac{2}{501}*\frac{500*501}{2}=500\\ Se\ simplifica\ si\ ramane\ 500[/tex]