What should come in place of the question mark (?) in the given series?
2 16 44 100 212 ?
Correct Answer :
436
Solution :
The correct option is 436.
Let us analyze the relationship between consecutive terms in the given series:
2, 16, 44, 100, 212, ?
To find the pattern, let us calculate the difference between each consecutive term:
First difference:
16 - 2 = 14
44 - 16 = 28
100 - 44 = 56
212 - 100 = 112
Let us observe the sequence of these differences:
14, 28, 56, 112
We can see that each difference is exactly twice the previous difference:
14 × 2 = 28
28 × 2 = 56
56 × 2 = 112
Following this pattern, the next difference in the sequence should be:
112 × 2 = 224
Now, we add this difference to the last term (212) to find the missing number (?):
? = 212 + 224 = 436
Therefore, the number that should come in place of the question mark is 436.
Access expert-curated educational resources and study materials—completely free.
Create, conduct, and manage professional online assessments with Mindyard. Perfect for teachers and institutes.
Copyright © 2026 Mindyard. All Rights Reserved.