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What will come in place of the question mark in the following numerical series?

6, 9, 14, 21, 30, ?

Solution

✅ Correct Option: 2

The series is: 6, 9, 14, 21, 30, ?

Finding the differences between consecutive terms:

9−6=39 - 6 = 3

14−9=514 - 9 = 5

21−14=721 - 14 = 7

30−21=930 - 21 = 9


The differences form a sequence: 3, 5, 7, 9

These differences increase by 2 each time, forming an arithmetic progression.


The next difference in the pattern:

9+2=119 + 2 = 11


The next term in the series:

30+11=4130 + 11 = 41

Therefore, the answer is Option 2: 41

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