UCSS Math I 2.7.3 Example 3

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.

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

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