Question Details

What should come in place of '?' in the given series?
7 10 16 25 ?

Options

A

34

B

43

C

40

D

37

Show Answer

Correct Answer :

Option D

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: 10-7=3
Second difference: 16-10=6
Third difference: 25-16=9

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:
9+3=12

Therefore, to find the term that comes in place of the question mark, we add 12 to the last term (25):
25+12=37

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