an=1/[n*(n+1)*(n+2)]+1/(n+1)
通分得[1+n*(n+2)]/[n*(n+1)*(n+2)]
=[(n+1)*(n+1)]/[n*(n+1)*(n+2)]
=(n+1)/[n*(n+2)]
a99=100/(99*101)=100/9999
an=1/[n*(n+1)*(n+2)]+1/(n+1)
通分得[1+n*(n+2)]/[n*(n+1)*(n+2)]
=[(n+1)*(n+1)]/[n*(n+1)*(n+2)]
=(n+1)/[n*(n+2)]
a99=100/(99*101)=100/9999