1/2+1/6+1/12+……+1/990=?麻烦写出过程,

问题描述:

1/2+1/6+1/12+……+1/990=?麻烦写出过程,

1/2+1/6+1/12+……+1/9900
=1-1/2+1/2-1/3+1/3-1/4+.+1/99-1/100
=1-1/100
=99/100