1/(1*4)+1/(4*7)+1/(7*10)+…… +1 / [(3n-2) (3N + 1)] summation

1/(1*4)+1/(4*7)+1/(7*10)+…… +1 / [(3n-2) (3N + 1)] summation

1/(1*4)+1/(4*7)+1/(7*10)+…… +1/[(3n-2)(3n+1)]
=3(1-1/4+1/4-1/7+...+1/(3n-2)-1/(3n+1))
=3*(1-1/(3n+1))
=9n/3n+1