8-2/3-2/15-2/35-2/63-2/99-2/143-2/195-2/255=

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/16 05:17:08
8-2/3-2/15-2/35-2/63-2/99-2/143-2/195-2/255=

8-2/3-2/15-2/35-2/63-2/99-2/143-2/195-2/255=
8-2/3-2/15-2/35-2/63-2/99-2/143-2/195-2/255=

8-2/3-2/15-2/35-2/63-2/99-2/143-2/195-2/255=
=8-(1-1/3)-(1/3-1/5)-(1/5-1/7).-(1/15-1/17)
=8-1+1/3-1/3+1/5-1/5.-1/15+1/17
=8-1+1/17=7+1/17
=120/7

原式=8-(3-1)/(1*3)-(5-3)/(3*5)-(7-5)/(5*7)-……-(17-15)/(15*17)
=8-1+1/3-1/3+1/5-1/5+1/7-……-1/15+1/17
=7+1/17
=120/17