Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.
-$$\mathrm { a } _ { \mathrm { n } } = \frac { 1 } { 36 } \mathrm { e } ^ { \mathrm { n } }$$
A) Diverges
B) Converges

Question

Quizplus · Accepted Answer

The function $\mathrm { a } _ { \mathrm { n } } = \frac { 1 } { 36 } \mathrm { e } ^ { \mathrm { n } }$ 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, the sequence diverges.

Graph the Function Corresponding to the Sequence Defined an=136en\mathrm { a } _ { \mathrm { n } } = \frac { 1 } { 36 } \mathrm { e } ^ { \mathrm { n } }an​=361​en

Graph the Function Corresponding to the Sequence Defined $\mathrm { a } _ { \mathrm { n } } = \frac { 1 } { 36 } \mathrm { e } ^ { \mathrm { n } }$