变通项公式an=[(n+1)^2-n^2]/[n(n+1)]^2=1/n^2-1/(n+1)^2a1=1-1/2^2a2=1/2^2-1/3^2a3=1/3^2-1/4^2…an=1/n^2-1/(n+1)^2Sn=1-1/2^2+1/2^2-1/3^2+...+1/n^2-1/(n+1)^2=1-[1/(n+1)^2]