1/(1x2)+1/(2x3)+1/(3x4)+1/(4x5)+1/(5x6)+1/(6x7)+1/(7 x8)=?

芊妮2022-10-04 11:39:541条回答

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ggddj 共回答了15个问题 | 采纳率93.3%
1/(1x2)+1/(2x3)+1/(3x4)+1/(4x5)+1/(5x6)+1/(6x7)+1/(7 x8)
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/6-1/7)+(1/7-1/8)
=1-1/8
=7/8
1年前

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要简算 2004×20022003 (115 +217 )×15×17 1/(1x2)+1/(2x3)+1/(3x4)+
要简算
2004×20022003 (115 +217 )×15×17
1/(1x2)+1/(2x3)+1/(3x4)+……+1/(98x99)+1/(99+100)
2004×(2002/2003) (1/15 +2/17 )×15×17
1/(1x2)+1/(2x3)+1/(3x4)+……+1/(98x99)+1/(99+100)
上面错了
刀飞1年前2
我也来tt 共回答了20个问题 | 采纳率90%
2004×2002/2003=(20032-1)/2003=2003-1/2003=2002 20022003
(1/15+2/17)×15×17=17+2×15=17+30=47
1/(1x2)+1/(2x3)+1/(3x4)+……+1/(98x99)+1/(99+100)=1-1/2+1/2-1/3+1/3-1/4+……+1/98-1/99+1+1/99-1/100=1-1/100=99/100