Fill the missing term in the sequence: 16, 4, 2, 1.5, ?, 1.875. The multiplier increases by 1/4 each step (×1/4, ×1/2, ×3/4, ×1, ×5/4).

Introduction / Context:This series uses gradually increasing fractional multipliers, rising by 1/4 each time.

Given Data / Assumptions:

• 16 → 4 → 2 → 1.5 → ? → 1.875
• Multipliers suspected: 1/4, 1/2, 3/4, 1, 5/4.

Concept / Approach:Verify each transition as a multiplication by the stated fractions.

Step-by-Step Solution:

Verification / Alternative check:The fractional ladder 0.25, 0.5, 0.75, 1.0, 1.25 precisely fits all steps.

Why Other Options Are Wrong:2 or 1.75 would break the uniform increment of 1/4 in the multipliers.

Common Pitfalls:Confusing additive with multiplicative growth; here it is strictly multiplicative.

Final Answer:1.5.