Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
2, 4, 10, 28, ?, 244
Option 1: 94
Option 2: 90
Option 3: 88
Option 4: 82
Correct Answer: 82
Solution :
Given:
2, 4, 10, 28, ?, 244
In the above-given series, multiply the previous term by 3 and then subtract 2 from the resultant to get the next term in the series.
(2 × 3) – 2 = 6 – 2 = 4
(4 × 3) – 2 = 12 – 2 = 10
(10 × 3) – 2 = 30 – 2 = 28
(28 × 3) – 2 = 84 – 2 = 82
(82 × 3) – 2 = 246 – 2 = 244
So, 82 is the missing number of the series. Hence, the fourth option is correct.
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