1/(1×5)+1/(5×10)+1/(10×15)+···+1/(2005×2010)=

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 08:11:29
1/(1×5)+1/(5×10)+1/(10×15)+···+1/(2005×2010)=

1/(1×5)+1/(5×10)+1/(10×15)+···+1/(2005×2010)=
1/(1×5)+1/(5×10)+1/(10×15)+···+1/(2005×2010)=

1/(1×5)+1/(5×10)+1/(10×15)+···+1/(2005×2010)=

1/(1×5)+1/(5×10)+1/(10×15)+···+1/(2005×2010)
=1/5+1/5×﹙1/5-1/10+1/10-1/15+1/15-1/20+……+1/2005-1/2010)
=1/5×﹙1+1/5-1/2010)
=1/5×2412/2010
=1402/1675