Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.
14, 27, 52, 101, 198, ?
Option 1: 381
Option 2: 395
Option 3: 391
Option 4: 394
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Correct Answer: 391
Solution :
Given:
14, 27, 52, 101, 198, ?
Multiply each number by 2 and subtract consecutive natural numbers from it to find the next term –
(14 × 2) – 1 = 28 – 1 = 27;
(27 × 2) – 2 = 54 – 2 = 52;
(52 × 2) – 3 = 104 – 3 = 101;
(101 × 2) – 4 = 202 – 4 = 198;
(198 × 2) – 5 = 396 – 5 = 391
So, the missing number of the series is 391. Hence, the third option is correct.
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