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Algebra Level 4

\[Given :: \ \displaystyle S_{n}=\sum_{r=1}^n t_{r}= \frac{n(2n^{2}+9n+13)}{6}\] \[Find \quad \displaystyle \sum_{r=1}^\infty \frac{1}{r.\sqrt{t_{r}}}\]


You can try my other Sequences And Series problems by clicking here : Part II and here : Part I.
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