Question : Directions: In the following question, a series is given with one number missing. Select the missing number from the given alternatives.
4, 13, 41, 126, 382, ?
Option 1: 1149
Option 2: 1146
Option 3: 1151
Option 4: 1167
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Correct Answer: 1151
Solution :
Given:
4, 13, 41, 126, 382, ?
Multiply the terms by 3 and add consecutive natural numbers to the resultant to get the following terms.
(4 × 3) + 1 = 12 + 1 = 13; (13 × 3) + 2 = 39 + 2 = 41; (41 × 3) + 3 = 123 + 3 = 126; (126 × 3) + 4 = 378 + 4 = 382; (382 × 3) + 5 = 1146 + 5 = 1151
So, the required missing number is 1151. Hence, the third option is correct.
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