Lake 1. Given the arithmetic sequence with the first term $a_{1}=3, a_{n+1}=a_{n}+5$, find up to the 5th term.
Solution: From the recursive formula $a_{2}=a_{1}+5=3+5=8$,
$$
\begin{array}{l}
a_{3}=a_{2}+5=8+5=13, \\
a_{4}=a_{3}+5=13+5=18, \\
a_{5}=a_{4}+5=18+5=23 .
\end{array}
$$

From the recursive formula to find the general term, there are commonly four forms:
I $\cdot a_{n+1}=a_{n}+d$,
Arithmetic sequence type.