Which number will replace the question mark (?) in the following series?
5, 8, 20, 34, 76, 142, ?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 296
Logic:
2nd number = (1st number × 2) - 2
3rd number = (2nd number × 2) + 4
4th number = (3rd number × 2) - 6
and so on
Given series:
5, 8, 20, 34, 76, 142, ?
(5 × 2) - 2 = 8
(8 × 2) + 4 = 20
(20 × 2) - 6 = 34
(34 × 2) + 8 = 76
(76 × 2) - 10 = 142
(142 × 2) + 12 = 296
So, 296 will be the next number in the series.
Hence, the correct answer is 296.