Find the incorrect term in the following number series. Series: 380, 188, 92, 48, 20, 8, 2

Introduction / Context:
Many decreasing series repeatedly apply the same operation. Here the intended operation is “halve and subtract 2.” Detecting this single-step rule exposes the term that does not follow it.

Given Data / Assumptions:

• Series: 380, 188, 92, 48, 20, 8, 2
• Hypothesis: next = (current / 2) − 2.

Concept / Approach:
Verify each transition using the formula next = (current / 2) − 2. Any transition that fails indicates the wrong term at the arrival point.

Step-by-Step Solution:
From 380: (380 / 2) − 2 = 190 − 2 = 188 ✓ From 188: (188 / 2) − 2 = 94 − 2 = 92 ✓ From 92: (92 / 2) − 2 = 46 − 2 = 44 (but the series shows 48 ✗) Continuing the rule from 44: (44 / 2) − 2 = 22 − 2 = 20 ✓; (20 / 2) − 2 = 10 − 2 = 8 ✓; (8 / 2) − 2 = 4 − 2 = 2 ✓.

Verification / Alternative check:
Replacing 48 with 44 produces a fully consistent chain using a single, simple operation.

Why Other Options Are Wrong:
188, 20, 8 align perfectly with the rule; they should not be removed.

Common Pitfalls:
Trying alternating add/subtract adjustments instead of noticing the cleaner “halve and subtract 2.”

Final Answer:
48