Patterned triple (choose the matching set): Given set: (2, 14, 16)

Introduction / Context:
Triplet-pattern questions ask you to infer a relation that links the three numbers, then select another triplet that follows the same relation.

Given Data / Assumptions:
Reference triplet: (2, 14, 16). The structure often follows (n, 7n, 8n) or (n, n×k, n×(k+1)) in this family.

Concept / Approach:
If we set n = 2, then 7n = 14 and 8n = 16. So the underlying rule is (n, 7n, 8n). We must pick the option that matches this pattern for some n.

Step-by-Step Solution:

Verification / Alternative check:
Check other options: none exactly match the 7n/8n structure.

Why Other Options Are Wrong:
They break the 7n/8n progression (e.g., 9 is not 7×2; 16 is not 8×2 in the same slotting, etc.).

Common Pitfalls:
Confusing additive with multiplicative structure; here the second and third terms are simple multiples of the first.

Final Answer:
(3, 21, 24)