Find the wrong term in steadily widening even jumps: 56, 72, 90, 110, 132, 150

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:

  • Sequence: 56, 72, 90, 110, 132, 150.
  • Observed differences: 16, 18, 20, 22, (should be 24).


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:

  • 72 / 110 / 132 all adhere to the intended differences; only the last step is low by 6.


Common Pitfalls:

  • Mistaking a steady second-difference pattern; always examine the sequence of differences themselves.


Final Answer:
150

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