Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.
-$$\mathrm { a } _ { n } = \frac { 1 } { 22 } e ^ { n }$$
A) Converges
B) Diverges

Question

Quizplus · Accepted Answer

The function $\mathrm { a } _ { n } = \frac { 1 } { 22 } e ^ { n }$ represents an exponential growth as $n$ increases. Since $e^n$ grows without bound as $n$ increases, the sequence does not approach a finite limit. Therefore, it diverges.

Graph the Function Corresponding to the Sequence Defined an=122en\mathrm { a } _ { n } = \frac { 1 } { 22 } e ^ { n }an​=221​en

Graph the Function Corresponding to the Sequence Defined $\mathrm { a } _ { n } = \frac { 1 } { 22 } e ^ { n }$