Determine if the series

${\displaystyle \underset{m=1}{\overset{}{}}}\frac{4+2^m}{3^m}$

converges or diverges, and if it converges, find its sum.

converges with sum $=\frac{9}{2}$

converges with sum $=\frac{5}{2}$

series diverges

converges with sum $=3$

converges with sum $=\frac{7}{2}$

converges with sum $=4$