Number series – find the wrong term (identify the outlier). Sequence: 6, 13, 18, 25, 30, 37, 40

Difficulty: Easy

Correct Answer: 40

Explanation:


Introduction / Context:
The goal is to detect the underlying rule that generates the series. Typically, simple addition with alternating steps is used in such problems, and one term may be deliberately incorrect.



Given Data / Assumptions:

  • Series: 6, 13, 18, 25, 30, 37, 40
  • Exactly one term is wrong.


Concept / Approach:
Check for a repeating increment pattern. Alternating additions such as +7, +5 are very common. Confirm whether each step aligns with that pattern.



Step-by-Step Solution:

6 + 7 = 13 (fits +7)13 + 5 = 18 (fits +5)18 + 7 = 25 (fits +7)25 + 5 = 30 (fits +5)30 + 7 = 37 (fits +7)Expected next step is +5, so 37 + 5 = 42.Given term is 40, which breaks the +7, +5 alternating pattern.


Verification / Alternative check:
Reconstruct the intended series: 6, 13, 18, 25, 30, 37, 42. This confirms 40 is the only inconsistent term.



Why Other Options Are Wrong:

  • 25 and 30: Precisely match the alternating +7, +5 increments.
  • 37: Also correct as the +7 step after 30.


Common Pitfalls:
Computing differences inconsistently or skipping a step in the pattern. Always confirm the alternating cycle across multiple transitions.



Final Answer:
40

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