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What will come in the place of the question mark ‘?’ in the following question?

2 , 7 , 14 , 24 , ? , 57


1. 38
2. 49
3. 45
4. 35
5. None of these

1 Answer

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Best answer
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.

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