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
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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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