To find the 5th term in the sequence defined by the general term [tex]\(a_n = 3n + 7\)[/tex], follow these steps:
1. Substitute [tex]\(n = 5\)[/tex] into the general term formula [tex]\(a_n = 3n + 7\)[/tex].
2. This substitution results in [tex]\(a_5 = 3(5) + 7\)[/tex].
3. First, calculate [tex]\(3 \times 5\)[/tex]:
[tex]\[
3 \times 5 = 15
\][/tex]
4. Then, add 7 to the result:
[tex]\[
15 + 7 = 22
\][/tex]
Therefore, the 5th term in the sequence is:
[tex]\[
\boxed{22}
\][/tex]
