If You consider that the 'general term' can be written as...
(1)
... You can conclude that it is a 'geometrical series'...
Kind regards
Consider the series inf E n=1 (e^n)/(3^(n-1). Does this series converge or diverge? If the series converges, find its sum. Give the exact value and an approximation rounded to three decimal places after the decimal point.
I just keep going around in circles with this problem.