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Which of the following follows the pattern 12-36-72-92? (Operation: multiply by 3, multiply by 2, add 20)
14-42-84-104
10-30-60-70
15-45-90-100
11-33-66-80
14-42-84-104
Apply the given rule step-by-step to the first term of each option to quickly spot the matching sequence.
Apply the given rule step-by-step to the first term of each option to quickly spot the matching sequence.
Analyze the Given Pattern
The sequence 12-36-72-92 follows three operations in order: multiply the first term by 3 (12 * 3 = 36), multiply the result by 2 (36 * 2 = 72), and add 20 to the next result (72 + 20 = 92).
Test Option A
For 14-42-84-104: 14 * 3 = 42, 42 * 2 = 84, and 84 + 20 = 104. This matches the exact operational pattern of the question.
B: 10 * 3 = 30, 30 * 2 = 60, and 60 + 20 = 80 (not 70). C: 15 * 3 = 45, 45 * 2 = 90, and 90 + 20 = 110 (not 100). D: 11 * 3 = 33, 33 * 2 = 66, and 66 + 20 = 86 (not 80).
A is correct because 14 multiplied by 3 gives 42, 42 multiplied by 2 gives 84, and 84 plus 20 gives 104, matching the exact operation pattern.
Always verify arithmetic operations sequentially from left to right to prevent intermediate calculation errors.
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