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

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