Difficulty: Easy
Correct Answer: 56
Explanation:
Introduction / Context:
Many number-series questions use steadily growing differences, often perfect squares. The task is to spot a single inconsistent entry.
Given Data / Assumptions:
Concept / Approach:
The natural hypothesis is “add consecutive squares”: +2^2, +3^2, +4^2, +5^2, +6^2, +7^2.
Step-by-Step Solution:
Verification / Alternative check:
Replacing 56 by 57 restores perfect square-step differences through the tail, confirming a single early slip.
Why Other Options Are Wrong:
7, 16, and 32 each align exactly with the square-difference ladder. The inconsistency appears first at the fifth term only.
Common Pitfalls:
Confusing “nearby” values like 56 and 57; always compute the expected difference rather than eyeballing.
Final Answer:
56 is the wrong term (it should be 57 under +2^2, +3^2, +4^2, +5^2, +6^2, +7^2).
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