1/1*3+1/3*5+1/5*7+.1/17*19+1/19*21的公式

来源：学生作业帮助网 编辑：六六作业网 时间：2024/05/03 14:11:59
1/1*3+1/3*5+1/5*7+.1/17*19+1/19*21的公式1/1*3+1/3*5+1/5*7+.1/17*19+1/19*21的公式1/1*3+1/3*5+1/5*7+.1/17*19

1/1*3+1/3*5+1/5*7+.1/17*19+1/19*21的公式
1/1*3+1/3*5+1/5*7+.1/17*19+1/19*21的公式

1/1*3+1/3*5+1/5*7+.1/17*19+1/19*21的公式
=(1-1/3+1/3-1/5+1/5-1/7+……+1/17-1/19+1/19-1/21)/2
=(1-1/21)/2
=(20/21)/2
=10/21

1/1*3+1/3*5+1/5*7+....1/17*19+1/19*21
=1/2*(1-1/3+1/3-1/5+1/5-.................-1/19+1/19-1/21)
=1/2*(1-1/21)
=10/21

1/1*3+1/3*5+1/5*7+....1/17*19+1/19*21
=（1-1/3）*(1/2)+(1/3-1/5)*(1/2)+(1/5-1/7)*(1/2)+......+(1/17-1/19)*(1/2)+(1/19-1/21)*(1/2)
=(1-1/3+1/3-1/5+1/5-1/7+......+1/17-1/19+1/19-1/21)*(1/2)
=(1-1/21)*(1/2)
=(20/21)*(1/2)
=10/21

1/1*3+1/3*5+1/5*7+....1/17*19+1/19*21=1/2(1-1/3+1/3-1/5+1/5-1/7+......+1/17-1/19+1/19-1/21)=1/2(1-1/21)=10/21

1/1*3+1/3*5+1/5*7+....1/17*19+1/19*21
=[(1-1/3)+(1/3-1/5)+(1/5-1/7)+....+(1/17-1/19)+(1/19-1/21)]/2
=[1-1/21]/2
=10/21

1-3+5-7+... (1+1/3+1/5+1/7)*(1/3+1/5+1/7+1/9)-(1+1/3+1/5+1/7+1/9)*(1/3+1/5+1/7) 简算(1+1/3+1/5+1/7)*(1/3+1/5+1/7+1/9)-(1+1/3+1/5+1/7+1/9)*(1/3+1/5+1/7) 简便计算 1/1*3+1/1*3*5+1/1*3*5*7+1/1*3*5*7*9-73/945 1/3+1/5+1/7+.+1/2n+1 (1/3+1/5+1/7)*(1/5+1/7+1/9)-(1/3+1/5+1/7+1/9)*(1/5+1/7)=? 1 1 1 1 1 3 5 7 1 5 13 25 1 7 25 why 1/1×3+1/3×5+1/5×7+1/7×9.+1/2011×2013 简算:1/1*3+1/3*5+1/5*7+1/7*9+1/9*11 1/1*3+1/3*5+1/5*7+1/7*9+...1/17*19= 计算1/(1×3)+1/(3×5)+1/(5×7)+1/(7×9)+.+1/(19×21) 1/1×3+1/3×5+1/5×7+1/7×9+.+1/2013×2015 1/1*3+1/3*5+1/5*7+1/7*9+.+1/101*103 帮帮忙1/1*3+1/3*5+1/5*7+1/7*9+...1/99*101 1/1*3+1/3*5+1/5*7+1/7*9+1/49*51= 计算：1/1×3+1/3×5+1/5×7+1/7×9``````+1/2001×2003 (1*3)/1+(3*5)/1+(5*7)/1+(7*9)/1+(9*11)/1 1/1*3+1/3*5+1/5*7+1/7*9+1/9*11 (1*3)/1+(3*5)/1+(5*7)/1+(7*9)/1+(9*11)/1