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\sum _{n=1}^{\infty }\:\frac{4\left(-1\right)^n+2^n}{3^n} Determine whether the series is convergent or divergent. If it is convergent, find...

\sum _{n=1}^{\infty }\:\frac{4\left(-1\right)^n+2^n}{3^n} Determine whether the series is convergent or divergent. If it is convergent, find its sum.

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