2/(1×2×3)+2/(2×3×4)+...+2/(28×29×30)=2*1/2*[1/(1×2)-1/(2×3)+1/(2×3)-1/(3×4)+...+1/(28×29)-1/(29×30)]=1/(1×2)-1/(29×30)=1/2-1/870=217/435
通式n乘以(n+1)再乘以2/(n+2)可以化简为2n-2+4/(n+2),然后你会了吧