1/11-11/31+2/11-12/31+3/11-13/31+.+10/11-20/31=
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/29 08:25:45
![1/11-11/31+2/11-12/31+3/11-13/31+.+10/11-20/31=](/uploads/image/z/129274-34-4.jpg?t=1%2F11-11%2F31%2B2%2F11-12%2F31%2B3%2F11-13%2F31%2B.%2B10%2F11-20%2F31%3D)
xO;N0,["@
>I$D--
"ibv{ffa%
n{3o|YP ڂ4
AJȨ2V?:cƦ&qq {ScIzPӺ::
~M|Q˳)K #L0Z %0@N rܮ̼>-^W?eM^v^ͲQہ,#P=Ei%{-E#5vpr[>Q
1/11-11/31+2/11-12/31+3/11-13/31+.+10/11-20/31=
1/11-11/31+2/11-12/31+3/11-13/31+.+10/11-20/31=
1/11-11/31+2/11-12/31+3/11-13/31+.+10/11-20/31=
你把所有分母是11的加在一起,把所有分母是31的相加,两者相减,得到的答案是5-5=0.
(1+10)*10/2 / 11 - ((11+20)*10/2) / 31 = 55 / 11 - 155 / 31 = 0
1/11-11/31+2/11-12/31+3/11-13/31+......+10/11-20/31
=(1/11+2/11+3/11+...+10/11)-(11/31+12/31+13/31+...+20/31)
=(1+2+3+..+10)/11-(11+12+13+...+20)/31
=55/11-155/31
=5-5
=0