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Mathematics 20 Online
OpenStudy (anonymous):

I need help with a question !!!! reply and ill give you the equation

OpenStudy (candyme):

Please post your equation and we'll see if we can work it out :)

OpenStudy (anonymous):

\[\sum_{n=1}^{\infty} 1+3^{n}/2^{n}\]

OpenStudy (anonymous):

determine whether the series is convergent or divergent if convergent find the sum

OpenStudy (candyme):

I'm not as confident as I would like to be in this type of problem. I'm going to let the others help you out :)

OpenStudy (anonymous):

I believe the series is divergent. Simplifying gives us \[1+(\frac{ 3 }{ 2 })^n\] If we were to substitute n with infinity, we'd see that the terms would grow exponentially. \[\lim_{n \rightarrow \infty}1+(\frac{ 3 }{ 2 })^n=\infty\]

OpenStudy (anonymous):

Does this make sense?

OpenStudy (anonymous):

yes thank you

OpenStudy (anonymous):

You are welcome :)

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