Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
5, 16, 51, 158, ?
Option 1: 481
Option 2: 465
Option 3: 441
Option 4: 478
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Correct Answer: 481
Solution :
Given
:
5, 16, 51, 158, ?
The next term can be obtained by multiplying the previous term by 3 and adding consecutive odd numbers to the resultant.
(5 × 3) + 1 = 15 + 1 = 16;
(16 × 3) + 3 = 48 + 3 = 51;
(51 × 3) + 5 = 153 + 5 = 158;
(158 × 3) + 7 = 474 + 7 = 481
So, the missing number is 481. Hence, the first option is correct.
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