To find the explicit rule for the sequence , let's analyze it step-by-step.
1. Identify the First Term
The first term of the sequence is:
f(1) = 29
2. Calculate the Common Ratio
To confirm the common ratio, divide each term by its preceding term:
This confirms that the common ratio r is 3.
3. General Formula for a Geometric Sequence
The formula for a geometric sequence is: