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

Given data

• Sequence: 2, 6, 18, 54, ...

Concept/ApproachGeometric progression with common ratio 3.

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

Verification/AlternativeGeneral term a_n = 2 × 3ⁿ⁻¹; for n = 5, value is 162.

Common pitfalls

• Doubling instead of tripling.

Final Answer162