# Example 3

- Author:
- Walch Education

A geometric sequence is defined recursively by , with = 729.
Find the first five terms of the sequence, write an explicit formula to represent the sequence, and find the eighth term.

- Use the recursive formula to find the first 5 terms of the sequence.
- The first term is
= 729 and the constant ratio is , so the explicit formula is . - Substitute 8 in for
and evaluate.