1-1/2+1/3-1/4+……+1/205-1/206
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1-1/2+1/3-1/4+……+1/205-1/2061-1/2+1/3-1/4+……+1/205-1/2061-1/2+1/3-1/4+……+1/205-1/2061-1/2+1/3-1/4+……
1-1/2+1/3-1/4+……+1/205-1/206
1-1/2+1/3-1/4+……+1/205-1/206
1-1/2+1/3-1/4+……+1/205-1/206
1-1/2+1/3-1/4+……+(1/2n-1)-1/2n
=1+1/2+1/3+1/4+……+(1/2n-1)+1/2n
-2(1/2+1/4+1/6+1/8+...+1/2n)
=1+1/2+1/3+1/4+……+(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
1/(1-1/2)/(1-1/3)/(1-1/4)/……/(1-1/2012)
(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)×(1-1/3)×(1-1/4)……×(1-1/2008)计算方法
200×(1-1/2)×(1-1/3)×(1-1/4)×……×(1-1/100)=?
计算:(1-1/2)*(1-1/3)*(1-1/4)*……*(1-1/10).
(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
(1/1+2)+(1/1+2+3)+(1/1+2+3+4)+………+(1/1+2+3+………+100)
1+2+3+4+……+10000
1×2×3×4……×101
1+2+3+4……+101
1+2+3+4+5…………+100000000
求和:1/1×2+1/2×3+1/3×4+……+1/n(n+1)
计算 (1+1/2)×(1+1/3)×(1+1/4)×……×(1+1/7)×(1+1/8)×计算 (1+1/2)×(1+1/3)×(1+1/4)×……×(1+1/7)×(1+1/8)×(1+1/9)
1+1×2+1×2×3+1×2×3×4……1×2×……×n=?
(1-1/2)(1-1/3)(1-1/4)………………(1-1/99)(1-1/100)
1/1+2+1/1+2+3+1/1+2+3+4+…+1/1+2+3+…+50
(1/2+1/3+1//4+…+1/2005)(1+1/2+1/3+1/4+…+1/2004)-(1+1/2+1/3+1/4+…+1/2005)(1/2+1/3+1/4+…+1/2004计算1/2+1/3+1//4+…+1/2005)(1+1/2+1/3+1/4+…+1/2004)-(1+1/2+1/3+1/4+…+1/2005)(1/2+1/3+1/4+…+1/2004)
1+1/(1+2)+1/(1+2+3)+1/(1+2+3+4)+……+1/(1+2+3+4+……+2007)