Difficulty: Easy
Correct Answer: (4, 24, 48)
Explanation:
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:
1) Identify pattern: second term = 6n; third term = 12n. 2) Let n = 4 → (4, 24, 48), which matches (n, 6n, 12n).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)
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