Convergence of Infinite Series with Variable Terms?

[lmannoia]

Homework Statement

Sum from 0 to infinity of (2^n + 6^n)/(2^n6^n)

Homework Equations

No idea.

The Attempt at a Solution

I am completely dumbstruck on how to do this one. Could someone give me a hint on where to start? Thanks a lot!

 

[jbunniii]

Try splitting the fraction into two pieces.

 

[micromass]

Try

\frac{2^n+6^n}{2^n 6^n}=\frac{1}{6^n}+\frac{1}{2^n}

 

[lmannoia]

Got it, thank you both very very much.