1/1*2+1/2*3+1/3*4+…+1/1001*1002
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1/1*2+1/2*3+1/3*4+…+1/1001*1002
1/1*2+1/2*3+1/3*4+…+1/1001*1002
1/1*2+1/2*3+1/3*4+…+1/1001*1002
答:
考查分数的裂项知识
1/1*2+1/2*3+1/3*4+…+1/1001*1002
=1-1/2+1/2-1/3+1/3-1/4+...+1/1001-1/1002
=1-1/1002 (中间全部正负项抵消了)
=1001/1002
1/1*2+1/2*3+1/3*4+…+1/1001*1002
=1/1-1/2+1//2-1/3....+1/1001-1/1002
=1001/1002
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
|1/2-1|+|1/3-1/2|+|1/4+1/3|+…+|1/30-1/29|
1/1+2+1/1+2+3+1/1+2+3+4+…+1/1+2+3+…+50
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
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)=?
计算:(1-1/2)*(1-1/3)*(1-1/4)*……*(1-1/10).
(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)
(1/2+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)
计算(1+3)(1+3^2)(1+3^4)……(1+3^64)+1
计算(1+3)(1+3^2)(1+3^4)……(1+3^2n)
(3+1)(3^2+1)(3^3+1)(3^4+1)…(3^32+1)步骤
(1/1+2)+(1/1+2+3)+(1/1+2+3+4)+………+(1/1+2+3+………+100)
1+1/(1+2)+1/(1+2+3)+1/(1+2+3+4)+……+1/(1+2+3+4+……+2007)
奥数题1+1/1+2+1/1+2+3+1/1+2+3+4+……+1/1+2+3+4+5+……100