# Example 3

- Author:
- Walch Education

An arithmetic sequence is defined recursively by , with = 29.
Find the first 5 terms of the sequence, write an explicit formula to represent the sequence, and find the 15th term.

- Use the recursive formula to find the first five terms of the sequence.
- The first term is
= 29 and the common difference is = 5, so the explicit formula is . - Simplify.
- Substitute 15 in for
to find the 15th term in the sequence.