Correct Answer - Option 1 : 38
Given:
2 , 7 , 14 , 24 , ? , 57
Calculation:
Difference between first and second number = 7 - 2 = 5
Difference between second and third number = 14 - 7 = 7
Difference between third and fourth number = 24 - 14 = 10
Difference of difference between (second and third, first and second) number = 7 - 5 = 2
Difference of difference between (third and fourth, second and third) = 10 - 7 = 3
As, we can see the numbers are in sequence of 2, 3, 4
∴ Next number is 24 + (10 + 4) = 38.