Answer:
The given series is convergent.
Step-by-step explanation:
A series is called convergent when it has finite limit.
A series is called divergent when it has infinite limit.
To check the limit we have to use following methods ,
If | s | < 1 , the series is convergent , where s is the common ratio.
If | s | > 1 , the series is divergent.
⇒ s = [tex]\frac{192}{125} * \frac{5}{12} = \frac{2}{5} < 1[/tex]
⇒ s = [tex]\frac{48}{125} * \frac{5}{12} = \frac{4}{5} < 1[/tex]
∴ The given series is convergent.