Let un=18n+3/(3n-1)^2(3n+2)^2, ninmathbb N. Then sumn=1^infty un equals \\\\\\\\\\\\\\\\\\

Q50Section C (Section C)50 of 60

Telescoping sum of a rational series

Let $u_n=\dfrac{18n+3}{(3n-1)^2(3n+2)^2}$ , $n\in\mathbb N$ . Then $\sum_{n=1}^\infty u_n$ equals __________________

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