Determine Whether the Geometric Series Converges or Diverges $$\sum _ { n = 0 } ^ { \infty } 3 ^ { n } 4 ^ { - n + 1 }$$

Multiple Choice

Determine whether the geometric series converges or diverges. If it converges, find its sum.
$$\sum _ { n = 0 } ^ { \infty } 3 ^ { n } 4 ^ { - n + 1 }$$
Select the correct answer.

A) 12
B) Diverges
C) 3
D) 16