Find the incorrect term in the following number series. Series: 10, 26, 74, 218, 654, 1946, 5834

Introduction / Context: Some sequences apply the same transformation each time. Here the intended rule is multiply by 3 and then subtract 4. Identifying the consistent rule reveals the single term that does not comply.

Given Data / Assumptions:

• Series: 10, 26, 74, 218, 654, 1946, 5834
• Hypothesis: next = (current * 3) − 4.

Concept / Approach: Test the rule across each transition. The term produced by a failed transition identifies the anomaly.

Step-by-Step Solution: 10 * 3 − 4 = 30 − 4 = 26 ✓ 26 * 3 − 4 = 78 − 4 = 74 ✓ 74 * 3 − 4 = 222 − 4 = 218 ✓ 218 * 3 − 4 = 654 − 4 = 650 (but the series shows 654 ✗) Continuing correctly: 650 * 3 − 4 = 1950 − 4 = 1946 ✓; 1946 * 3 − 4 = 5838 − 4 = 5834 ✓.

Verification / Alternative check: Replacing 654 with 650 makes the rule hold for all steps.

Why Other Options Are Wrong: 26, 74, 218 each exactly equals 3×previous − 4; they are consistent and thus correct.

Common Pitfalls: Missing the constant subtraction after the multiplication.

Final Answer: 654