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Find the sum sum(n=1)^(oo)(6^(n))/((3^(n...

Find the sum `sum_(n=1)^(oo)(6^(n))/((3^(n)-2^(n))(3^(n+1)-2^(n+1)))`

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To find the sum \[ S = \sum_{n=1}^{\infty} \frac{6^n}{(3^n - 2^n)(3^{n+1} - 2^{n+1})} \] we will simplify the expression step by step. ...
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