$\text { Determine if the series } \sum _ { n = 1 } ^ { \infty } a _ { n } \text { defined by the formula converges or diverges. }$
-$$a _ { 1 } = 3 , a _ { n + 1 } = \frac { 6 + \tan ^ { - 1 } n } { n } a _ { n }$$
A) Diverges
B) Converges

Question

Quizplus · Accepted Answer

The series converges by the Ratio Test.

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.

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