Let’s analyze the given data table to determine its nature.
Step 1: Calculate Common Differences
Common Differences:
From y(2) to y(3): 8 - 5 = 3
From y(3) to y(4): 11 - 8 = 3
From y(4) to y(5): 14 - 11 = 3
The common differences are: 3 (constant)
Since the common differences are constant, this indicates that the relationship is linear.
Step 2: Calculate Common Ratios
Common Ratios:
From y(2) to y(3):
From y(3) to y(4):