terms don't want to stop...

Calculus Level 5

Find the value of n=13n.5n(5n3n)(5n+13n+1)\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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