Let’s analyze the given data table to determine its nature.
Step 1: Calculate Common Differences
Common Differences:
From y(0) to y(1): 12 - 15 = -3
From y(1) to y(2): 9 - 12 = -3
From y(2) to y(3): 6 - 9 = -3
The common differences are all (-3), which are constant. This indicates that the relationship is linear.
Step 2: Calculate Common Ratios
Common Ratios:
From y(0) to y(1):
From y(1) to y(2):