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Look at this series: 2, 6, 18, 54, ... What number should come next?

Difficulty: Easy

Correct Answer: 162

Explanation:

Given data

  • Sequence: 2, 6, 18, 54, ...

Concept/Approach
Geometric progression with common ratio 3.


Step-by-step calculation
Each step × 3: 2 → 6 → 18 → 54Next = 54 × 3 = 162


Verification/Alternative
General term an = 2 × 3n−1; for n = 5, value is 162.


Common pitfalls

  • Doubling instead of tripling.

Final Answer
162

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