Geometric Progressions

Step 1: Recall the properties of a Geometric Progression (GP).
If are in geometric progression, we know that: or equivalently,

Step 2: Use the given relationship.
The given condition is . This implies the following: Taking logarithms of each equation:

Step 3: Express the relationship.
From the properties of geometric progression, we know that , so the relationships between form an arithmetic progression. Therefore, the correct answer is 1. Arithmetic Progression.