Question

1x3分之1+3x5分之1+5x7分之1+7x9分之1+·····+19x21分之1= 写出计算过程

Answer 1

1/1×3+1/3×5+1/5×7+1/7×9+...+1/19×+21
=(1-1/3)/2+(1/3-1/5)/2+(1/5-1/7)/2+(1/7-1/9)/2+...+(1/19-1/21)/2
=(1-1/3+1/3-1/5+1/5-1/7+...+1/19-1/21)/2
=(1-1/21)/2
=10/21