terms don't want to stop...

Calculus Level 4

Find the value of \[\Large \displaystyle \sum_{n=1}^{\infty} \dfrac{3^n.5^n}{(5^n-3^n)(5^{n+1}-3^{n+1})}\]


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