Difficulty: Easy
Correct Answer: 23
Explanation:
Introduction / Context:
The sequence is dominated by perfect squares with a single intrusion. Recognizing squares at a glance is the fastest approach to identifying the non-matching term.
Given Data / Assumptions:
Concept / Approach:
Confirm each as a square or not, and pick the sole non-square as the odd item.
Step-by-Step Solution:
Check 23: it lies between 16 and 25; √23 ≈ 4.796, not integerAll others equal n^2 for integer nHence, 23 is the odd term
Verification / Alternative check:
Prime factorization also shows 23 is prime and not a square of any integer.
Why Other Options Are Wrong:
9/25/36 are perfect squares and belong in the square set.
Common Pitfalls:
Confusing 25 with 5^3 (it is 5^2); mixing cube recognition with square recognition.
Final Answer:
23
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