(3n-2)×(3n+1)分之一=1/3*[1/(3n+1)-1/(3n-2)]1×4分之1+4×7分之1+···+(3n-2)×(3n+1)分之1=1/3*[1/4-1+1/7-1/4+1/10-1/7+...+1/(3n+1)-1/(3n-2)]=1/3*[-1+1/(3n+1)]=1/3(3n+1)-1/3
1×4分之1+4×7分之1+···+(3n-2)×(3n+1)分之1=1/3*(1-1/4+1/4-1/7+……+1/(3n+1))=1/3(1-1/(3n+1))