Question 3

Which number will replace the question mark (?) in the following series?
5, 12, 26, 54, ?

Solution

The logic here is

12 - 5 = 7

26 - 12 = 14

54 - 26 = 28

The difference between consecutive numbers in the series is twice the previous difference. The next difference will be 56.

Let the required number = a

Similarly,

a - 54 = 56

$$\Rightarrow$$ a = 110

$$\therefore\ $$The required number = 110

Hence, the correct answer is Option C

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Which number will replace the question mark (?) in the following series?5, 12, 26, 54, ?