Question : Directions: In the following question, select the missing number of the given series.
2, 5, 14, 41, 122, ?
Option 1: 370
Option 2: 365
Option 3: 380
Option 4: 368
Correct Answer: 365
Solution :
Given:
2, 5, 14, 41, 122, ?
The pattern is as follows –
(2 × 3) – 1 = 6 – 1 = 5
(5 × 3) – 1 = 15 – 1 = 14
(14 × 3) – 1 = 42 – 1 = 41
(41 × 3) – 1 = 123 – 1 = 122
(122 × 3) – 1 = 366 – 1 = 365
So, the missing number of the series is 365. Hence, the second option is correct.
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