Question

Determine whether the series converges or diverges....

Answer 1

\[\sum_{n=1}^{\infty}\ \frac{ 3^{n-1} }{ n^2+9 }\]

Answer 2

Think I might have just solved it.

Answer 3

made an error with exponents, 3^n / 3^(n-1) = 3, not 3^-1, correct?

Answer 4

yes

Answer 5

OK, I used the ratio test and I believe they diverge with the limit = 3

Answer 6

It is divergent

Answer 7

thanks :)

Answer 8

welcome!