The arithmetic sequence with the given condition is determined recursively by
[tex]\begin{cases}a_1=5\\a_n=a_{n-1}+3&\text{for }n>1\end{cases}[/tex]
So we have
[tex]a_2=a_1+3[/tex]
[tex]a_3=a_2+3=a_1+3(2)[/tex]
[tex]a_4=a_3+3=a_1+3(3)[/tex]
and so on with the general pattern
[tex]a_n=a_1+3(n-1)[/tex]
This means the 72nd term in the sequence is
[tex]a_{72}=a_1+3(72-1)=5+3(71)=218[/tex]
so the answer is B.
