Find the missing term so that the multipliers grow by 1.0 each step: 4, 2, ?, 7.5, 26.25, 118.125. Use ×0.5, ×1.5, ×2.5, ×3.5, ×4.5.

Introduction / Context:Another multiplicative ladder where the factors themselves increase by a constant amount (here, +1.0 each step).

Given Data / Assumptions:

• Series: 4, 2, ?, 7.5, 26.25, 118.125.
• Target multipliers: 0.5, 1.5, 2.5, 3.5, 4.5 in order.

Concept / Approach:Apply each multiplier in sequence, solving for the missing value.

Step-by-Step Solution:

Verification / Alternative check:Every step uses the next factor in the arithmetic progression of multipliers.

Why Other Options Are Wrong:5, 4, or 3.5 would disrupt the specified multiplier sequence.

Common Pitfalls:Expecting constant multipliers; here the factors themselves change linearly.

Final Answer:3.