$\text { Determine if the series } \sum _ { n = 1 } ^ { \infty } a _ { n } \text { defined by the formula converges or diverges. }$
-$$\mathrm { a } _ { 1 } = \frac { 1 } { 9 } , \mathrm { a } _ { \mathrm { n } + 1 } = \sqrt [ n ] { \mathrm { a } _ { \mathrm { n } } }$$
A) Diverges
B) Converges

Question

Quizplus · Accepted Answer

The series diverges because the limit of the terms does not exist.

Determine if the series ∑n=1∞an defined by the formula converges or diverges. \text { Determine if the series } \sum _ { n = 1 } ^ { \infty } a _ { n } \text { defined by the formula converges or diverges. } Determine if the series ∑n=1∞​an​ defined by the formula converges or diverges.

$\text { Determine if the series } \sum _ { n = 1 } ^ { \infty } a _ { n } \text { defined by the formula converges or diverges. }$