1/6=1/( )+1/( )+1/( )+1/( )+1/( )

来源：百度知道编辑：UC知道时间：2024/05/24 09:54:37

观察：1/4=1*5/4*5=5/20=1/20+4/20=1/20+1/5
1/5=1*6/5*6=6/30=1/30+5/30=1/30+1/6

1/6=1/42+1/56+1/72+1/90+1/10

1/6=1/(42)+1/(56)+1/(72)+1/(90)+1/(110)
1/6=1×7/6×1/7＝7/42＝1/42＋6/42＝1/42＋1/7
1/7=1×8/7×1/8＝8/56＝1/56＋7/56＝1/56＋1/8
……

1/6=1*7/6*7=7/42=1/42+6/42=1/42+1/7

1/7=1*8/8*7=8/56=1/56+7/56=1/56+1/8

1/8=1*9/8*9=9/72=1/72+8/72=1/72+1/9

1/9=1*10/9*10=10/90=1/90+9/90=1/90+1/10

所以1/6=1/42+1/56+1/72+1/90+1/10

1/42+1/56+1/72+1/100+1/110+1/11

1/6=1/(10)+1/( 42)+1/(56 )+1/(72)+1/(90 )

5/6=1/?+1/?+1/? (1/2) (1/4+1/6)= 1/6+1/8+1/10+1/12+..........+1/202=? 1/2+1/4+1/6+1/8+.......+1/n=? 1/2+1/6+1/12+......+1/1980+1/2070=? 9/1=3/X-6/1 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90= 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90=? 计算1/2 +1/6+1/12+1/20+1/30+1/42= 1/2+1/3+1/4+1/5+1/6+....+1/n=?