Difficulty: Easy
Correct Answer: 101
Explanation:
Introduction / Context:
This series plainly uses perfect squares in descending order. One term breaks the sequence by not being a perfect square. Spotting the incorrect value is straightforward if you recall common squares.
Given Data / Assumptions:
Concept / Approach:
Match each term to a perfect square: 14^2, 13^2, 12^2, 11^2, 10^2. The final term should be 100 (10^2), not 101.
Step-by-Step Solution:
196 = 14^2.169 = 13^2.144 = 12^2.121 = 11^2.Expected next = 10^2 = 100, but given value is 101 → incorrect.
Verification / Alternative check:
Replacing 101 with 100 yields a perfect countdown of consecutive integer squares: 14^2, 13^2, 12^2, 11^2, 10^2.
Why Other Options Are Wrong:
Common Pitfalls:
Final Answer:
101
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