Number series – find the incorrect term: 10, 26, 74, 218, 654, 1946, 5834

Introduction / Context:This sequence is governed by a single, repeated operation across all terms. Your task is to identify the one number that violates the rule.

Given Data / Assumptions:

• Series: 10, 26, 74, 218, 654, 1946, 5834
• Exactly one term is wrong.
• Operations likely involve consistent multiplication with a fixed adjustment.

Concept / Approach:

Try a linear transform of the form “next = current3 - 4”. These compact rules are common in reasoning sequences.

Step-by-Step Solution:

Verification / Alternative check:

Replacing 654 with 650 makes the relation exact for every step. No other single substitution yields universal consistency.

Why Other Options Are Wrong:

26, 74, 218, 1946 all satisfy the rule with neighbors; they are internally consistent.

Common Pitfalls:

Do not assume changing multipliers; a fixed multiplier plus a constant offset is sufficient here.

Final Answer:

654