数列An的通项公式an=(1+2+.+n)/n,bn=1/(anan+1) bn的前N项和为

an=(1+2+。+n)/nan=[n(1+n)/2]/n=(1+n)/2a1=(1+1)/2=1a(n+1)=(2+n)/21/an=2/(1+n)1/a(n+1)=2/(2+n)bn=1/[ana(n+1)]=[2/(1+n)][2/(2+n)]=4/[(1+n)(2+n)]=4[1/(1+n)-1/(2+n)]