Ononot — If an is a geometric sequence such that an = \frac{2^{n+1}}{

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Geometric Sequencesmedium

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If $a_n$ is a geometric sequence such that $a_n = \frac{2^{n+1}}{3^n}$ , what is the value of the infinite sum $\sum_{n=1}^{\infty} a_n$ ?