1/2×1/3+1/3×1/4+1/4×1/5+1/5×1/6+1/6×1/7+1/7×1/8+1/8×1/9+1/9×1/10=?希望把过程写出来

来源：学生作业帮助网编辑：作业帮时间：2024/04/29 01:53:07

1/2×1/3+1/3×1/4+1/4×1/5+1/5×1/6+1/6×1/7+1/7×1/8+1/8×1/9+1/9×1/10=?希望把过程写出来
1/2×1/3+1/3×1/4+1/4×1/5+1/5×1/6+1/6×1/7+1/7×1/8+1/8×1/9+1/9×1/10=?希望把过程写出来

1/2×1/3+1/3×1/4+1/4×1/5+1/5×1/6+1/6×1/7+1/7×1/8+1/8×1/9+1/9×1/10=?希望把过程写出来
第一项：1/2×1/3=1/2－1/3；第二项：1/3×1/4＝1/3－1/4…………然后全部写出来,中间的都消掉,是剩下1/2－1/10＝2/5

1/2×1/3+1/3×1/4+1/4×1/5+1/5×1/6+1/6×1/7+1/7×1/8+1/8×1/9+1/9×1/10=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10=1/2-1/10=2/5

这个式子其实就是1/2-1/3+1/3-1/4+1/4-1/5+.....-1/10=1/2-1/10=2/5很简单的，多做做就行了

(1+1/2+1/3+1/4+1/5)*(1/3+1/4+1)-(1+1/3+1/4)*(1/2+1/3+1/4+1/5) 1+2+3+4+1 (1+1/2+1/3+1/40)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4),不好意思,是下面这个! /1/3-1/2/+/1/4-1/3/+/1/5-1/4/+.+/1/10-1/9/ |1/3-1/2|+|1/4-1/3|+|1/5-1/4|+.+|1/2008-1/2007| |1/3-1/2|+|1/4-1/3|+|1/5-1/4|+...+|1/10-1/9| 1/2 1/3 1/4是勾股数吗 1/3+1/2+1/4 1/2*1/3*1/4 1/2+1/3+1/4=? 1/2-3/1-4/1= 1 2 3 4 1 2 3 4 1 2 3 4 1,2,3,4, 1 2 3 4 1 2 3 4 1,2,3,4,