Test the series for convergence or divergence.

$$

$24$

$+$

$45$

$$

$66$

$+$

$87$

$$

$108$

$+$

Identify

bn$.$

$($Assume the series starts at n $=1.)$

Evaluate the following limit$.$

$$lim$$n$$$$bn$$

Since

lim$$n$$$$bn

$?=0$ and

bn $+1?$n$/$a bn

for all n$,---$Select$---$the series converges$$the series diverges$$the test is inconclusive $.$