To find the recursive formula for the given sequences, we need to identify the pattern and the relationship between consecutive terms.

Sequence 1: $3, 8, 13, 18, 23, \ldots$

Let's denote the sequence by $a_n$, where $a_1 = 3$, $a_2 = 8$, and so on.

1. Identify the pattern: We observe that the difference between consecutive terms is constant. Specifically: $a_2 - a_1 = 8 - 3 = 5$ $a_3 - a_2 = 13 - 8 = 5$ $a_4 - a_3 = 18 - 13 = 5$ The common difference is $5$.

2. Write the recursive formula: Since each term is obtained by adding 5 to the previous term, we