Algebra-1

To determine the explicit rule for the sequence , let’s analyze the terms step by step.

1. Identify the First Term

The first term of the sequence is:

f(1) = 37

 

2. Calculate the Common Ratio

We can find the common ratio by dividing 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: