Alternating pattern (+4, ×2): find the odd one out Sequence shown: 10, 14, 28, 32, 64, 68, 132. Which term breaks the pattern?

Introduction / Context:
This is a classic alternating-operations series. When two operations repeat (for example, +a then ×b), any deviation from the expected outcome signals the odd term. Your goal is to spot the expected value and compare it with the one given.

Given Data / Assumptions:

• Series: 10, 14, 28, 32, 64, 68, 132.
• Hypothesis: “+4, then ×2” repeating.

Concept / Approach:
Apply the supposed pattern step by step and see where the provided term disagrees. If a computed value differs from the listed one, that listed value is the odd-man-out.

Step-by-Step Solution:
10 → 14: +4 (fits).14 → 28: ×2 (fits).28 → 32: +4 (fits).32 → 64: ×2 (fits).64 → 68: +4 (fits).68 → expected next: ×2 ⇒ 136, but listed is 132.Therefore, 132 is the odd term.

Verification / Alternative check:
Recomputing several steps confirms the consistency of the rule and isolates only the last step as inconsistent. That makes 132 the unique outlier.

Why Other Options Are Wrong:
32, 68, 28, and 64 all agree with the alternating “+4, ×2” pattern at their positions. They cannot be the odd ones out.

Common Pitfalls:
Confusing the operation order (×2 then +4 instead of +4 then ×2), or trying to force a different rule mid-sequence. Always verify consistency through multiple consecutive steps.

Final Answer:
132