Determine the Sum of the Infinite Series, If It Exists $$\frac { 2 } { 3 } + 1 + \frac { 3 } { 2 } + \frac { 9 } { 4 } + \ldots$$

Multiple Choice

Determine the sum of the infinite series, if it exists. $$\frac { 2 } { 3 } + 1 + \frac { 3 } { 2 } + \frac { 9 } { 4 } + \ldots$$

A) Sum does not exist
B) $\frac { 65 } { 12 }$
C) $- \frac { 4 } { 3 }$
D) $\frac { 4 } { 3 }$