Please deternine whether the series is convergent or divergent by Comparison Test.

Series sign (2^(n+1))/(3^(n+1))

My resoning: bn=2^n/3^n= (2/3)^n, r=2/3 less than 1, geometric series converges. It is true thatanis less thanbn,it means that the initial series converges.

If this is wrong, pleaseexplain how to do it by Comparison Test.

Thank you very much