Number series (insert 66 after every two increasing terms) Sequence: 7 9 66 12 14 66 17 … Choose the next two numbers.

Difficulty: Easy

Correct Answer: 19 66

Explanation:


Introduction / Context:
This type mixes a simple increasing run with a recurring fixed insertion. Spotting the repetition cycle is the primary task.



Given Data / Assumptions:

  • Given sequence: 7, 9, 66, 12, 14, 66, 17, …
  • Every two increasing integers are followed by the fixed value 66.


Concept / Approach:
Group terms into triplets: two rising numbers (+2) then an inserted constant (66). Continue the cycle.



Step-by-Step Solution:

First block: 7, 9, 66.Second block: 12, 14, 66.Next block begins at 17, then 19, followed by 66.Therefore, the next two terms are 19 and 66.


Verification / Alternative check:
The “+2, +2, then 66” cycle repeats consistently across the series.



Why Other Options Are Wrong:

  • 66 19 and 66 20: Wrong order; the constant follows the two increases.
  • 19 22 / 20 66: Break the +2, +2, then 66 rhythm.


Common Pitfalls:
Forgetting that 66 is a separator that appears after exactly two incremented terms.



Final Answer:
19 66

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