Answer:
[tex]a_{n} =15+3n[/tex]
Step-by-step explanation:
In this sequence, each term increases by 3, which means it is arithmetic with a common difference of 3. The explicit formula for an arithmetic sequence is [tex]a_{n}=a_{0} +dn[/tex], where [tex]a_{0}[/tex] is the zeroth term and d is the common difference. To find the answer simply plug in the values. The zeroth term is 15, we get this by going back one term before the sequence started, so subtracting 3 from 18. Then plugin 3 for d and you get your final answer.
