1/2+1/6+1/12+1/20+……+1/9900=?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/06/01 10:06:15
1/2+1/6+1/12+1/20+……+1/9900=?1/2+1/6+1/12+1/20+……+1/9900=?1/2+1/6+1/12+1/20+……+1/9900=?1/2=1-1/21/6=

1/2+1/6+1/12+1/20+……+1/9900=?
1/2+1/6+1/12+1/20+……+1/9900=?

1/2+1/6+1/12+1/20+……+1/9900=?
1/2=1-1/2
1/6=1/2-1/3
1/12=1/3-1/4
同理……所以原式=1-1/2+1/2-1/3+1/3+……-1/100=99/100