Difficulty: Easy
Correct Answer: 150
Explanation:
Introduction / Context:
This series increases by even differences that themselves rise by 2 at each step: +16, +18, +20, +22, +24, … A single terminal value breaks this predictable pace.
Given Data / Assumptions:
Concept / Approach:
List differences. If the pattern is “add 2 to the difference each step,” then after +22 the next must be +24. Apply it to confirm the correct terminal value.
Step-by-Step Solution:
72 − 56 = 1690 − 72 = 18110 − 90 = 20132 − 110 = 22Expected next: 132 + 24 = 156 (but given 150)
Verification / Alternative check:
Replacing 150 with 156 restores the uniform “+2 to the difference” ladder of even numbers. Any other replacement distorts at least one earlier step.
Why Other Options Are Wrong:
Common Pitfalls:
Final Answer:
150
Discussion & Comments