Test The Convergence

Calculus Level 3

\[ \cfrac{1^2}{(2^2)(3)} + \cfrac{2^2}{(3^2)(5)} + \cfrac{3^2}{(4^2)(7)} + \cfrac{4^2}{(5^2)(9)} + \cfrac{5^2}{(6^2)(11)} + \cdots \]

Does the sum above converge?

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