1/1998年1元硬币+2/1998年1元硬币+........

1*2分之分之分之分之分之1998
1*2分之分之分之分之分之1998
*2 +1/2*3 +1/3*4+ 1/4*5 +1/5*6)
=/2 +1/2 -1/3 +1/3 -1/4 +1/4 -1/5+1/5 -1/6)
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当前分类官方群专业解答学科习题,随时随地的答疑辅导(561+123+345)/6 2/8+6/8+.+(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/4)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)6-71/8+3/8+.+_百度作业帮
(561+123+345)/6 2/8+6/8+.+(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/4)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)6-71/8+3/8+.+比较,15/9219这三个分数的大小将下列分数又从小到大排列:10/17,12/19,15/22,60/992/(1*3)+2/(3*5)+2/(5*7)+2/(7*9)+2/(9*11)+2/(11*13)
(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/4)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)=(1+1/2+1/3+1/4)*1/4+(1+1/2+1/3+1/4)*(1/2+1/3+1/4)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)=(1+1/2+1/3+1/4)*1/4-(1+1/2+1/3+1/4+1/5-1/2-1/3-1/4)*(1/2+1/3+1/4)=(1+1/2+1/3)*1/4+1/4*1/4-1/5*(1/2+1/3+1/4)=(1+1/2+1/3)*(1/4-1/5)+1/16=11/6*1/20+1/16=37/2406-7=1997*()-1996*()=001-001=01/8+3/8+.+=(1+2+3+4+.+1997)*1/1998=(1997+1)((1997-1)/1+1)/2*1/1998=*1/1998=1997/2-4/////9219令63/7-4/1//4567同理<,故<<2/(1*3)+2/(3*5)+2/(5*7)+2/(7*9)+2/(9*11)+2/(11*13)=2*(1/(1*3)+1/(3*5)+1/(5*7)+1/(7*9)+1/(9*11)+1/(11*13))=2*(1/2*(1-1/3)+1/2*(1/3-1/5)+1/2*(1/5-1/7)+1/2*(1/7-1/9)+1/2*(1/9-1/11)+1/2*(1/11-1/13)=2*1/2*(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13)=1*(1-1/13)=12/13计算:1/X(X+1)+1/(X+1)(X+2)+1/((X+2)(X+3)+.+1/(X+1998)(X+1999)求当X=1时,该代数式的值._百度作业帮
计算:1/X(X+1)+1/(X+1)(X+2)+1/((X+2)(X+3)+.+1/(X+1998)(X+1999)求当X=1时,该代数式的值.
每个式子都能写成这样:1/X(X+1)=1/x
1/(X+1)(X+2)=1/(x+1)
.所以当X=1时,1/X(X+1)+1/(X+1)(X+2)+1/((X+2)(X+3)+.+1/(X+1998)(X+/2+1/2-1/3+1/3-1/4+.+1/0=1-1/00
(相互抵消)解答完毕.
原式=1/x-1/(x+1)+····+1/(x+1998)-1/(x+1999)
1/(x+1999)
中间的前一个减的与后一个加的抵消
=1999/x(x+1999)
解:1/X(X+1)=1/x
1/(X+1)(X+2)=1/(x+1)
........所以当X=1时,1/X(X+1)+1/(X+1)(X+2)+1/((X+2)(X+3)+......+1/(X+1998)(X+/2+1/2-1/3+1/3-1/4+.......+1/0=1-1/00
(相互抵消)
因为1/X(X+1)=1/X-1/(X+1),1/(X+1)(X+2)=1/(X+1)-1/(X+2)……所以1/X(X+1)+1/(X+1)(X+2)+1/((X+2)(X+3)+......+1/(X+1998)(X+1999)=1/X-1/(X+1999)当X=1时,原式=1/1-1/(1+1999)=1-1/00
先化简公式1/X(X+1)+1/(X+1)(X+2)+1/((X+2)(X+3)+......+1/(X+1998)(X+1999)=1/X-1/(X+1)+1/(X+1)-1/(X+2) +1/( X+2)-1/(X+3)+...........+1/(X+1998)-1/(X+1999)=1/X-1/(X+1999)x=1时得1/1-1/(1+1999)=1-1/001+2+3+4+5.....+99_百度知道
1+2+3+4+5.....+99
....数学问题简算1+2+3+4+5
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.1+2+3+4+5;2=&#47...+99 =(1+&#47.
把这个式子设为XX=1+2+3+4....+99X=97....+4+3+2+1上下相加则2X=(1+1999)+(2+1998)+(3+1997)....+(1997+3)+(1998+2)+(1999+1)
=2000(每一个括号的和)*2*1999(项数) X=9\2=
(首相+尾项)*项数/2(1+1999)*0*9000
(1+/2=1999000用的是高斯求和
(1+/2=1999000
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出门在外也不愁1/1*2+1/2*3+1/3*4+...+1/对不起,我不会弄分子分母,斜杠前的是分子,后的是分母!_百度作业帮
1/1*2+1/2*3+1/3*4+...+1/对不起,我不会弄分子分母,斜杠前的是分子,后的是分母!
1/1*2+1/2*3+1/3*4+...+1/=1-1/2+1/2-1/3+1/3-1/4+...+1/9=1-1/1999=
1/(1*2)=1/1-1/21/(2*3)=1/2-1/31/(3*4)=1/3-1/4......以此类推1/()=1/9所以原式=1/1-1/2+1/2-1/3+......1/9=1-1/99

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