(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
(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