Odd-man-out – identify the inconsistent term: 16, 4, 2, 1.5, 1.75, 1.875

Introduction / Context:
We are to pick the term that does not fit a consistent generation rule. The series begins with rapid division and then transitions to approaching a limit by halving increments.

Pattern Hypothesis:

• 16 → 4 (divide by 4)
• 4 → 2 (divide by 2)
• Then approach the limit 2 from below by adding successively halved amounts: +0.25, +0.125, +0.0625, …

Check Against Given Terms:

• From 2, adding +0.25 gives 2.25 (but sequence shows 1.5) — inconsistency.
• The later terms 1.75, 1.875 suggest incremental halving around 2 but in the increasing direction (toward 2).

Conclusion:
1.5 is the odd entry: it decreases from 2 by 0.5 instead of following the small halving increases expected to approach 2 smoothly.

Why Other Options Are Wrong:
2 is the natural pivot/limit; 1.75 and 1.875 are consistent with small upward corrections toward 2 under a halving-increments scheme.

Common Pitfalls:
Assuming a single global multiplier; this sequence blends an initial division phase with a limit-approach phase.

Final Answer:
1.5