To find the correct formula for the sequence 2, 3.5, 6.125, 10.71875, let's analyze the sequence first.
- The pattern in the sequence is not linear; rather, it appears to increase at an increasing rate.
- We can check if it fits a geometric or exponential model or potentially a polynomial model, but the options given suggest a simpler approach.
Let's evaluate the given options:
- y = 2(1.75)^-1: This does not match the pattern as it appears to represent a constant or decreasing value.
- y = 2 + 1.75x: This is a linear equation and does not fit the pattern of the growth in the sequence.
- y = 132: This is a constant and cannot represent the increasing sequence.
- y = 2(1.5): This is incomplete as it doesn't indicate a valid operation or relation.
None of the provided options seem to correctly represent a formula for the given sequence. It would help to derive the specific formula or rule based on the values without those options, but within the context of the given choices, no accurate formula can be selected for the provided sequence.
Therefore, based on the analysis, none of the responses accurately represents the formula for the sequence 2, 3.5, 6.125, 10.71875.