一道附加题

原式=1-1/2+1/2-1/3+1/3-1/4+...1/99-1/100
=1-1/100
=99/100

应该是1/2吧```

(1/2)+(1/6)+(1/12)+(1/20)........+(1/9900)
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+……+(1/99-1/100)
=1-1/100
=99/100

如果是1/2 则:

2/1+1/6+1/12+1/20+……+1/9900
=2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+……+(1/99-1/100)
=3/2-1/100
=149/100