JEE Advanced Sequence and Series 2

Calculus Level 5

Calculate \(S=\displaystyle\sum_{n=1}^{10} \dfrac{15^n}{(5^n-3^n)(5^{n+1}-3^{n+1})}\). Enter answer as \(\lfloor 10000S\rfloor\)

This problem is a part of My picks for JEE Advanced 1
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