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I need to use the ratio test to determine if the infinite series $\displaystyle \frac{3^n}{2^n +1}$ converges or diverges.

I began with $\frac{a_{n+1}}{a_n}$ and got to $$\frac{3(2^n+1)}{2^{n+1}+1}$$ but I don't really know where to go next...

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    Manasa, Let me know if I typeset your question correctly.2012-11-19
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    $3^n/(2^n+1)$ is not an infinite series. Did you mean, the infinite series $\sum_1^{\infty}3^n/(2^n+1)$?2012-11-19

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