1/3-1/5=2/3*5,计算1/3*5+1/5*7+1/7*9+…+1/19*21急

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/24 06:39:01
1/3-1/5=2/3*5,计算1/3*5+1/5*7+1/7*9+…+1/19*21急
x)3757572ynu Alm94ײ~԰ 222|ְ&Ht`] v6YL[ U@\[OO127BQ,bo5$Al5 4VD#H[XTHy

1/3-1/5=2/3*5,计算1/3*5+1/5*7+1/7*9+…+1/19*21急
1/3-1/5=2/3*5,计算1/3*5+1/5*7+1/7*9+…+1/19*21

1/3-1/5=2/3*5,计算1/3*5+1/5*7+1/7*9+…+1/19*21急
1/3*5+1/5*7+1/7*9+…+1/19*21
=(1/3-1/5+1/5-1/7+...+1/19-1/21)/2
=(1/3-1/21)/2
=(2/7)/2
=1/7

1/2(1/3-1/21)=1/7

1/3*5+1/5*7+1/7*9+…+1/19*21
=(1/3-1/5+1/5-1/7+1/7-1/9+...+1/19-1/21)/2
=(1/3-1/21)/2
=1/7