Find the first five terms of the sequence
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.