1 - 5/6 + 7/12 - 9/20 + 11/30 - 13/42（请找出规律计算,）
来源：学生作业帮助网 编辑：六六作业网 时间：2024/11/24 21:38:37
1 - 5/6 + 7/12 - 9/20 + 11/30 - 13/42（请找出规律计算,）
1 - 5/6 + 7/12 - 9/20 + 11/30 - 13/42（请找出规律计算,）
1 - 5/6 + 7/12 - 9/20 + 11/30 - 13/42（请找出规律计算,）
1 - 5/6 + 7/12 - 9/20 + 11/30 - 13/42
=1-(2+3)/6+(3+4)/12-(4+5)/20+(5+6)/30-(6+7)/42
=1-2/6-3/6+3/12+4/12-4/20-5/20+5/30+6/30-6/42-7/42
=1-1/3-1/2+1/4+1/3-1/5-1/4+1/6+1/5-1/7-1/6
=1-1/3+1/3+1/4-1/4-1/5+1/5+1/6-1/6-1/2-1/7
=1-1/2-1/7
=1/2-1/7
=5/14
5/6= 1/2 +1/3
7/12 =1/3 +1/4
9/20 =1/4+1/5
11/30 =1/5+1/6
13/42=1/6+1/7
1 - 5/6 + 7/12 - 9/20 + 11/30 - 13/42
=1-1/2 -1/3+1/3 +1/4-1/4-1/5+1/5+1/6-1/6-1/7
=1/2-1/7
=5/14
1 - 5/6 + 7/12 - 9/20 + 11/30 - 13/42
=1-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)
=1-1/2-1/7
=5/14
1 - 5/6 + 7/12 - 9/20 + 11/30 - 13/42
=1-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)
=1-1/2-1/3+1/3+1/4-1/4-1/5+1/5+1/6-1/6-1/7
=1-1/2-1/7
=1/2-1/7
=5/14
1 - 5/6 + 7/12 - 9/20 + 11/30 - 13/42
= (1+1)/2 + (2+3)/6 + (3+4)/12 - (4+5)/20 + (5+6)/30 - (6+7)/42
=1/2 +1/2 - 2/6 - 3/6 + 3/12 + 4/12 - 4/20 - 5/20 + 5/30 + 6/30 - 6/42 - 7/42
=1/2 - 1/7
5/14
1 - 5/6 + 7/12 - 9/20 + 11/30 - 13/42
=1-(2+3)/6+(3+4)/12-(4+5)/20+(5+6)/30-(6+7)/42
=1-2/6-3/6+3/12+4/12-4/20-5/20+5/30+6/30-6/42-7/42
=1-1/3-1/2+1/4+1/3-1/5-1/4+1/6+1/5-1/7-1/6
=1-1/3+1/3+1/4-1/4-1/5+1/5+1/6-1/6-1/2-1/7
=1-1/2-1/7
=1/2-1/7
=5/14
全部过程 不许复制我的
1 - 5/6 + 7/12 - 9/20 + 11/30 - 13/42
=1-(2+3)/2*3+(3+4)/3*4-(4+5)/4*5+(5+6)/5*6-(6+7)/6*7
=1-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)
=1-1/2-1/7
=5/14