有歧义,应是an=3/(n^2+3n+2)=3/(n+1)(n+2),用裂项相消法,
Sn=3(1/2-1/3+1/3-1/4+...1/(n+1)-1/(n+2))=3/2-3/(n+2)
所以Sn=3/2-3/(n+2)