an=(1+2+...+n)/(n+1)=(1/2*n(n+1)/(1+n)=n/2
bn=2/an*an+1=8/n(n+1)=8*(1/n-1/(1+n))
Sn=8*(1-1/2+1/2-1/3+1/3-1/4...+1/n-1/(1+n))=8(1-1/(1+n))
an=(1+2+...+n)/(n+1)=(1/2*n(n+1)/(1+n)=n/2
bn=2/an*an+1=8/n(n+1)=8*(1/n-1/(1+n))
Sn=8*(1-1/2+1/2-1/3+1/3-1/4...+1/n-1/(1+n))=8(1-1/(1+n))