1/(1*4)=(1/3)*[1-(1/4)]1/(4*7)=(1/3)*[(1/4)-(1/7)]1/(7*10)=(1/3)*[(1/7)-(1/10)].1/[n*(n+3)]=(1/3)[(1/n)-1/(n+3)]则计算:[1/(1*4)]+[1/(4*7)]+[1/(7*10)]+.+[1/(2005*2008)]的值
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1.(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)=2.(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4+1/5+1/6)-(1+1/2+1/3+1/4+1/5+1/6)*(1/2+1/3+1/4+1/5)=
计算100×(1-1/3)×(1-1/4)×(1-1/5)×…×(1-1/100)=?
(1-1/2)*(1-1/3)*(1-1/4)*(1-1/5)*(1-1/6)*…*(1-1/19)*(1-1/20)=
填空(填数字)(1/2-1)(1/3-1)=( )×( )=( );(1/2-1)(1/3-1)(1/4-1)=( )×( )×( )=( );(1/2-1)(1/3-1)(1/4-1)(1/5-1)=( )×( )×( )×( )=( );例:(1/2-1)(1/3-1)=( )×( )=( )前两个括号填1/2-1的结果
(1+1/2)*(1+1/4)*.(1+1/10)*(1-1/3)*(1-1/5)*.(1-1/9)=?请写出过程和道理!
(1-2*2/1)*(1-3*3/1)*(1-4*4/1)*...*(1-2004*2004/1)*(1-2005*2005/1)=?要过程!
(1-1/2²)(1-1/3²)(1-1/4²).(1-1/10²)=?
(1-1/2)+ (1/3-1/4)+ (1/5-1/6)...+ (1/99-1/100)=?
数学题(1/4+1/5+1/6+...+1/671)(1/3+1/4+1/5+..+1/670)-(1/3+1/4+1/5+...+1/671)(1/4+1/(1/4+1/5+1/6+...+1/671)(1/3+1/4+1/5+..+1/670)-(1/3+1/4+1/5+...+1/671)(1/4+1/5+1/6+...+1/670)=?
1/6【1/4{1/3(1/2X-1)+3}+5】=1
计算(1-1/50)(1-1/49)(1-1/48).(1-1/4)(1-1/3)(1-1/2)=?
1/(1*3)+1/(2*4)+1/(3*5)+1/(4*6)+...+1/(8*10)=?
设A=(1,1,1; 1,1,-1; 1,-1,1),设B=(1,2,3,; -1,-2,4; 0,5,1;) 求AtB
200*(1-1/2)*(1-1/3)*(1-1/4)*.*(1-1/100)
在1/2、1/3、1/4、1/5、1/6、1/8、1/12、1/20中,哪几个分数的和=1?1=1/( )+1/( )+1/( ) 1=1/()+1/( )+1/( )+1/( ) 1=1/( )+1/( )+1/( )+1/( )+1/( )
(1-2/1)*(1-3/1)*(1-4/1)*.*(1-2007/1)*(1-2008/1)
(1+1*3分之1)(1+2*4分之1)(1+3*5分之1)(1+4*6分之1)…(1+9*11分之1)(1+1*3分之1)*(1+2*4分之1)*(1+3*5分之1)*(1+4*6分之1)…(1+9*11分之1)=?
根据(n-1)(n+1)+1=n的平方,计算(1+1/1*3)(1+1/2*4)(1+1/3*5)(1+1/4*6).(1+1/9*11)