1/2+5/6+1/12+19/20+29/30.9701/9702+9899/9900=

来源:学生作业帮助网 编辑:作业帮 时间:2024/10/06 00:12:14
1/2+5/6+1/12+19/20+29/30.9701/9702+9899/9900=
xA0E N$E =!z[x Nc+8S(Ƙ4eʶ&1B@րetfC(.٘uWg6,NJ}w0k΄53xE[JGaqd '/?^iqYm_ C|`h``{y1# @TvwI

1/2+5/6+1/12+19/20+29/30.9701/9702+9899/9900=
1/2+5/6+1/12+19/20+29/30.9701/9702+9899/9900=

1/2+5/6+1/12+19/20+29/30.9701/9702+9899/9900=
1/2+5/6+11/12+19/20+29/30+...+9701/9702+9899/9900 =1/2+(1-1/6)+(1-1/12)+(1-1/20)+(1-1/30)+……+(1-1/9702)+(1-1/9900) =1/2+[1-(1/2-1/3)]+[1-(1/3-1/4)]+[1-(1/4-1/5)]+[1-(1/5-1/6)]+……+[1-(1/98-1/99)]+[1-(1/99-1/100)] =1*100+1/2-1/2+1/3-1/3+1/4-1/4+1/5-1/5+1/6-1/6+……1/98-1/98+1/99-1/99+1/100 =100+1/100 =100又1/100