(1)1/1*2*3+1/2*3*4……+1/1993*1994*1995
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(1)1/1*2*3+1/2*3*4……+1/1993*1994*1995
(1)1/1*2*3+1/2*3*4……+1/1993*1994*1995
(1)1/1*2*3+1/2*3*4……+1/1993*1994*1995
1/n(n+1)(n+2)=1/2*[1/n(n+1)-1/(n+1)(n+2)]
所以1/1*2*3+1/2*3*4……+1/1993*1994*1995
=1/2*(1/1*2-1/2*3)+1/2(1/2*3-1/3*4)+……+1/2(1/1993*1994-1/1994*1995)
=1/2*(1/1*2-1/2*3+1/2*3-1/3*4+……+1/1993*1994-1/1994*1995)
=1/2*(1/1*2-1/1994*1995)
=1/2*(1/2-1/3978030)
=994507/3978030
1+2+3+4+……+10000
1×2×3×4……×101
1+2+3+4……+101
1+2+3+4+5…………+100000000
(1/2+1/3+1/4+……+1/2013)(1+1/2+1/3+1/4+……+1/2012)-(1+1/2+1/3+……+1/2013)(1/2+……+1/2012)
(1/1+2)+(1/1+2+3)+(1/1+2+3+4)+………+(1/1+2+3+………+100)
1+2/2*1+2+3/2+3*1+2+3+4/2+3+4*……*1+2……+2001/2+3+……+2001=
1+2+3+4+5+6……………………+100000000=?
1/(1-1/2)/(1-1/3)/(1-1/4)/……/(1-1/2012)
2(3+1)(3^2+1)(3^4+1)……(3^32+1)+1
1+2+3+4……+100000好的加分…………急…………………………快……………………………………
(1/2+1/3+1/4+1/5+……+1/2007)*(1+1/2+1/3+1/4+……+1/2006)………………计算:(1/2+1/3+1/4+1/5+……+1/2007)*(1+1/2+1/3+1/4+……+1/2006)-(1+1/2+1/3+1/4+……+1/2007)*(1/2+1/3+1/4+^+1/2006)要求简算
求证:1/2^3 +1/3^3 +1/4^3 +……+1/(n+1)^3
求证:1/2^3 +1/3^3 +1/4^3 +……+1/(n+1)^3
1+1×2+1×2×3+1×2×3×4……1×2×……×n=?
求和:1/1×2+1/2×3+1/3×4+……+1/n(n+1)
(1-1/2)×(1-1/3)×(1-1/4)……×(1-1/2008)计算方法
200×(1-1/2)×(1-1/3)×(1-1/4)×……×(1-1/100)=?