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

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:

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