Number Series — Find the Wrong Term Identify the single incorrect term in the sequence: 10, 14, 28, 32, 64, 68, 132.

Introduction / Context:This problem asks you to spot the incorrect number in a deterministic numeric pattern. Such questions commonly alternate operations like addition and multiplication. Recognizing the repeating cycle is the key to finding the wrong term quickly in aptitude tests.

Given Data / Assumptions:

• Sequence provided: 10, 14, 28, 32, 64, 68, 132
• Assume exactly one term is inconsistent with an otherwise regular rule.
• Operations may alternate (for example, +k then *m).

Concept / Approach:Check if the series alternates between adding a fixed number and then doubling. This is a frequent pattern: +c, *2, +c, *2, and so on. Validate each transition and see which value breaks the cycle.

Step-by-Step Solution:10 → 14: +414 → 28: *228 → 32: +432 → 64: *264 → 68: +468 → next should be *2 = 136But the given next is 132, which violates the *2 step.

Verification / Alternative check:Recompute each step: every pair fits “+4 then *2” until the final transition. The correct last term should be 136, so the provided 132 is wrong.

Why Other Options Are Wrong:

• 28, 32, 64: Each fits perfectly into the alternating “+4, *2” pattern and is therefore not the erroneous term.

Common Pitfalls:Assuming a single arithmetic or geometric progression without testing for alternating operations. Always examine differences and ratios in tandem to reveal two-step cycles.

Final Answer:132