Patterned triple (choose the matching set): Given set: (3, 18, 36)

Introduction / Context:
We need a triplet that follows the same internal relation as (3, 18, 36).

Given Data / Assumptions:
(3, 18, 36) can be written as (n, 6n, 12n) with n = 3.

Concept / Approach:
Preserve the multiplier sequence 1 : 6 : 12 across another base n.

Step-by-Step Solution:

Verification / Alternative check:
Other options fail either the 6× or 12× requirement.

Why Other Options Are Wrong:
They do not maintain the exact 1:6:12 ratio.

Common Pitfalls:
Misreading 12n as 6n + n; here it is strictly a multiple pattern.

Final Answer:
(4, 24, 48)