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) $\frac { 4 } { 3 }$

Question

Quizplus · Accepted Answer

The series is a geometric series with a common ratio greater than 1, so the sum does not exist.

Determine the Sum of the Infinite Series, If It Exists 23+1+32+94+…\frac { 2 } { 3 } + 1 + \frac { 3 } { 2 } + \frac { 9 } { 4 } + \ldots32​+1+23​+49​+…

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