Algebra-1

Let's analyze the given data table to determine its nature.

Step 1: Calculate Common Differences

Common Differences:

From y(0) to y(1): 3 - 1 = 2

From y(1) to y(2): 9 - 3 = 6

From y(2) to y(3): 27 - 9 = 18

The common differences are: 2, 6, 18

These differences are not constant, so the relationship is not linear.

Step 2: Calculate Common Ratios

Common Ratios:

From y(0) to y(1):

From y(1) to y(2):