显然它没法约简。。。
一定要算的话。。结果就在下面。。
当然是程序跑出来的。。
493779021530390437962553193882577994610071312577047334889773865994109528
686645094344969864538847544270406609410487536936593957394132190770081833090690
469208009743468793019398948194721191539058217581554142122402530779826549634798
266263175138093379354047151785947360178391736138421470388107929219200818731316
405008203464361923825708529440841421286323610461909696252858381975479026467382
9998544542831721722741539798798387356122429364267
/
7128865274665093053166384155
714272920668358861885893040452001991154324087581111499476444151913871586911717
817019575256512980264067621009251465871004305131072686268143200196609974862745
937188343705015434452523739745298963145674982128236956232823794011068809262317
708861979540791247754558049326475737829923352751796735248042463638051137034331
214781746850878453485678021888075373249921995672056932029099390891687487672697
950931603520000
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/999-1/1000)
=1+(-1/2+1/2)+(-1/3+1/3)+(-1/4+1/4)+...+(-1/999+1/999)-1/1000
=999/1000
编写程序求1-1\/2+1\/3-1\/4+..+1\/999-1\/1000的值
S=0 DO K=K*K I=K*(1\/N)S=S+I N=N+1 LOOP UNTIL N>1000 PRINT S END
...1-1\/2|+|1\/3-1\/2|+|1\/4-1\/3|+…+|1\/1000-1\/999|化简?
=(1-1\/2)+(1\/2-1\/3)+(1\/3-1\/4)+…+(1\/999-1\/1000)=1-1\/1000 =999\/1000 |-√2\/2+1|-|-√3-1|+|-√3|-|-√2\/2| =(1-√2\/2)-(√3+1)+√3-√2\/2 =1-√2\/2-√3-1+√3-√2\/2 =-√2,4,1-1\/2+1\/2-1\/3+1\/3...+1\/1999-1\/1000=999\/1000 1...
绝对值题:一减二分之一的绝对值加三分之一减二分之一的绝对值加四分之...
=1-2分之1＋2分之1-3分之1＋...+999分之1-1000分之1 =1-1000分之1 =1000分之999
...绝对值+2分之1-3分之1的绝对值……+999分之1-1000分之1怎么算?_百 ...
绝对值里面都是正的，可以直接去掉啊，就变成1-1\/2+1\/2-1\/3+。。。1\/999-1\/1000中间都抵消了，不就是1-1\/1000了，就等于999\/1000
(1-1\/2+1\/3-1\/4+……+1\/1993-1\/1994)\/(1+1\/1995+2+1\/1996+……+997+1...
+（1\/2n-1）+1\/2n -(1\/1+1\/2+1\/3+1\/4+...+1\/n-1+1\/n)即：抵消了前n项，剩下的是后n项是从1\/（n+1）至1\/2n =1\/(n+1)+1\/(n+2)+1\/(n+3)+...+1\/(2n-1)+1\/2n 1-1\/2+1\/3-1\/4+……+1\/205-1\/206 =1\/104+1\/105+1\/106+...+1\/205+1\/206 ...
...计算求和问题:S=1-1\/2+1\/3-1\/4+……1\/999-1\/1000
在excel 中用vba 输入以下代码即可：（vb中也可以）Sub aaa()Dim s, i, k, m For i = 1 To 1000 If i Mod 2 = 0 Then k = 0 - i Else k = i End If s = s + 1 \/ k Next MsgBox Format(s, "0.00")End Sub
丨1\/2-丨+丨1\/3-1\/2丨十丨1\/4-1\/3丨十…丨1\/1000-1\/999丨等于多少?_百...
丨1\/2-1丨+丨1\/3-1\/2丨十丨1\/4-1\/3丨十…丨1\/1000-1\/999丨 =1-1\/2+1\/2-1\/3+1\/3-1\/4+...+1\/999-1\/1000 =1-1\/1000 =999\/1000
(1-1\/2+1\/3-1\/4+1\/5-1\/6+...+1\/1997-1\/1998)\/(1\/2000+1\/2002+1\/2004+...
=(1+1\/2+1\/3+1\/4+…+1\/1998)-(1+1\/2+1\/3+……+1\/998+1\/999)=1\/1000+1\/1001+1\/1002+……+1\/1998 分母可作如下变换：(1\/2000+1\/2002+1\/2004+……+1\/3996)=1\/2*(1\/1000+1\/1001+1\/1002+……+1\/1998)所以 （1-1\/2+1\/3-1\/4+……+1\/1997-1\/1998+1\/1998)\/(1...
...一加3乘4分之一省略号998乘999分之一加999乘1000分之一。计算_百度...
原式=1-1\/2+1\/2-1\/3+……+1\/998-1\/999+1\/999-1\/1000 =1-1\/1000 =999\/1000
分数巧算1\/1*2+1\/2*3+1\/3*4+。。。+1\/999*1000
1\/1*2+1\/2*3+1\/3*4+。。。+1\/999*1000 =（1-1\/2）+（1\/2-1\/3）+（1\/3-1\/4）+...+（1\/999-1\/1000）=1-1\/1000 =999\/1000
