n(n+1)/2=[n(n+1)(n+2)-(n-1)n(n+1)]/61+3+6+…+ n(n+1)/2=[(6-0)+(24-6)+(60-24)+...+n(n+1)(n+2)-(n-1)n(n+1)]/6=n(n+1)(n+2)/6
an=n(n+1)/22Sn=1^2+2^2+3^2+……+n^2 +1+2+3+……+n +n*1 =(n+1)(2n+1)/6 +(1+n)n/2 +nSn易求