# Math Help - Divergence/convergence

1. ## Divergence/convergence

$\sum _{k=1}^{\infty }{\frac {{5}^{k}}{{3}^{k}+{4}^{k}}}$

I'm thinking this is a geometric, but I can't seem to reorder it. Any tips on what I should do?

2. ${5^k\over 3^k + 4^k} \ge {5^k\over 4^k+4^k}$

3. Ahh, thank you! That worked out very nicely.