(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

infinity

Ʃ(2^{n}+3^{n})/(4^{n+1})

n=0

2. Relevant equations

We learned the integral test. The p-series. The nth term test.

3. The attempt at a solution

I figured out that the terms are positive and that they approach 0. the first couple of terms are (2/4)+ 5/16+13/64+35/256+...

I think I can use the integral test, but that only tells me whether or not it converges. I think that it does. However, I don't know how to find its sum. If you guys could help me out I would really appreciate it.

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# Determine whether the following series converes or diverges and find the sum

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