Question : Directions: In the following question a series is given, with one number missing. Select the missing number from the given series.
2, 7, 22, 67, ?
Option 1: 197
Option 2: 198
Option 3: 200
Option 4: 202
Correct Answer: 202
Solution :
Given:
2, 7, 22, 67, ?
Multiply the difference of two consecutive terms by 3 and add the resultant to the next term, to get the missing term of the series –
2 + 5 = 7
7 + (5 × 3) = 7 + 15 = 22
22 + (15 × 3) = 22 + 45 = 67
67 + (45 × 3) = 67 + 135 = 202
So, 202 is the missing term in the series. Hence, the fourth option is correct.
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