What will come in place of the question mark in the following numerical series?
6, 9, 14, 21, 30, ?
Correct Answer :
41
Solution :
The correct option is 41.
To find the missing number in the given series, we need to analyze the differences between consecutive terms:
The first term is:
The second term is:
The third term is:
The fourth term is:
The fifth term is:
Now, let us calculate the differences between each consecutive pair of numbers:
The differences form a clear sequence of consecutive odd numbers starting from 3, which is: 3, 5, 7, and 9.
Following this pattern, the next difference must be the next consecutive odd number, which is 11.
To find the missing term (represented by the question mark), we add 11 to the last known term (30):
Thus, the number that will come in place of the question mark is 41.
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