(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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

**Physics Forums | Science Articles, Homework Help, Discussion**