Number series – find the wrong term (add consecutive odd cubes): 274, 301, 426, 769, 1498, 2824, 5026 Exactly one term breaks the pattern “next = previous + k^3” with k = 3, 5, 7, 9, 11, 13, … Identify the incorrect entry.

Introduction / Context:“Find the wrong term” problems require detecting a clean rule that all but one term obeys. A neat and test-friendly rule here is adding consecutive odd cubes to progress through the sequence, a variant that rapidly increases numbers while staying simple to verify.

Given Data / Assumptions:

• Proposed rule: add 3^3, 5^3, 7^3, 9^3, 11^3, 13^3, … to get successive terms.
• Start: 274.

Concept / Approach:Check each step against the odd-cube increments; any single mismatch flags the wrong term, which we minimally correct under the Recovery-First policy.

Step-by-Step Solution:

Verification / Alternative check:The sequence is perfectly consistent if 2824 is replaced by 2829 (i.e., +11^3). All other steps check out exactly.

Why Other Options Are Wrong:

Common Pitfalls:Missing that both 5026 and earlier terms still fit the odd-cube rule if the single typo is corrected.

Final Answer:2824