Difficulty: Easy
Correct Answer: 150
Explanation:
Introduction / Context:This is a difference-pattern series where each step increases by a steadily growing even number. One term breaks the pattern and must be identified.
Given Data / Assumptions:
Concept / Approach:Compute successive differences and check whether they follow a simple progression, such as adding even numbers that increase by 2 each time.
Step-by-Step Solution:
72 − 56 = 1690 − 72 = 18110 − 90 = 20132 − 110 = 22Expected next difference is 24, so expected next term = 132 + 24 = 156.Given final term is 150, which is short by 6 and breaks the +2-increment pattern of the differences.Verification / Alternative check:Replace 150 with 156 to obtain differences 16, 18, 20, 22, 24, a consistent arithmetic progression of even numbers.
Why Other Options Are Wrong:
Common Pitfalls:Looking at ratios when the structure is additive. Always test both methods, but here differences immediately reveal the rule.
Final Answer:150
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