1/2+1/3+1/4+1/5+.......+1/10

来源：百度知道编辑：UC知道时间：2024/05/10 17:07:47

因为1～10的最小公倍数为2520,所以

1/2+1/3+1/4+1/5+.......+1/10
=1260/2520+840/2520+630/2520+504/2520+420/2520+360/2520+315/2520+280/2520+252/2520
=(1260+840+630+504+420+360+315+280+252)/2520
=4861/2520
≈1.92896825396......

1/2+1/3+1/4+1/5+.......+1/10
=1/(2+3+4+5+6+7+8+9+10)
=1/54
=0.0185...

1+1/2+1/3+.....+1/n 1+1/2+1/3+...+1/100 1-1/2+1/3-.....-1/10 (1+1/2+1/3+1/4)× 1+1/(1+2)+1/(1+2+3)+...+1/(1+2+3+...+100) 1+1/(1+2)+1/(1+2+3)+-------+1/(1+2+3+----+100) (1/2005-1)(1/2004-1)........(1/3-1)(1/2-1) 1+1/2+1/3+.....+1/2005][1/2+1/3+.......+1/2006]-[1/2+1/3+......+1/2005][1+1/2+1/3+1/2006] (1-1/2-1/3-...-1/2001)*(1/2+1/3+...1/2002)-(1-1/2-1/3-...1/2002)*(1/2+1/3+...+1/2001) 1/1+1/2+1/3+1/4+。。。。+1/N 是多少