Number Pattern – Discovering the Hidden Rule
Number pattern questions are a common way to test logical thinking and analytical skills. At first glance, a sequence of numbers may seem random or confusing, but with careful observation, a consistent rule usually appears. The key is to break the sequence down step by step and look for relationships between consecutive numbers.
Question:
What comes next in the sequence?
2, 6, 7, 21, 22, 66, ___ ?
A. 67
B. 68
C. 132
D. 198
Hint:
Instead of looking for a single operation that applies to every step, consider the possibility that the pattern alternates between two different operations. Pay attention to how each number transforms into the next one.
Explanation:
Let’s analyze the sequence carefully:
- From 2 to 6: multiply by 3 → 2 × 3 = 6
- From 6 to 7: add 1 → 6 + 1 = 7
- From 7 to 21: multiply by 3 → 7 × 3 = 21
- From 21 to 22: add 1 → 21 + 1 = 22
- From 22 to 66: multiply by 3 → 22 × 3 = 66
We can now clearly see a repeating pattern:
multiply by 3, then add 1, and repeat.
Following this rule, the next step after 66 should be:
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