Answer
See below
Work Step by Step
The sequence is geometric with first term $a_1=5$ and common ratio $r=3$. So, a rule for the nth term is:$$a_n=a_1r^{n-1}=5*3^{n-1}$$
The first 6 terms are: $a_1=5\\a_2=15\\a_3=45\\a_4=135\\a_5=405\\a_6=1215$