What should come in place of '?' in the given series?
7 10 16 25 ?
Correct Answer :
37
Solution :
The correct option is 37.
To find the missing number in the given series, we need to analyze the pattern of differences between consecutive terms:
The given series is:
7, 10, 16, 25, ?
Let us calculate the differences between successive numbers:
First difference:
Second difference:
Third difference:
We can observe that the differences between successive terms are consecutive multiples of 3:
3, 6, 9, ...
Following this pattern, the next difference in the series should be:
Therefore, to find the term that comes in place of the question mark, we add 12 to the last term (25):
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