Find the wrong term in the number series: 5, 8, 16, 26, 50, 98, 194. A consistent rule from the beginning should be “next = 2 × previous − 2”. Identify the incorrect entry.

Introduction / Context:
We test a simple affine recurrence that fits almost all steps: multiply by 2 and subtract 2.

Given Data / Assumptions:

• Series: 5, 8, 16, 26, 50, 98, 194.
• Candidate rule: a(n+1) = 2*a(n) − 2.

Concept / Approach:
Check each transition under the rule and locate the earliest violation.

Step-by-Step Solution:

Verification / Alternative check:
Only the second step fails; fixing 16 to 14 repairs the entire tail perfectly.

Why Other Options Are Wrong:
26, 50, and 98 all satisfy the rule when the earlier misprint is corrected.

Common Pitfalls:
Mistaking downstream consistency for independent correctness; the first inconsistency typically identifies the wrong term.

Final Answer:
16 is the wrong term (should be 14).