Question

What will come in place of the question mark (?) in the following number series?

1, 10, 24, 63, 227, ?

1. 916
2. 1016
3. 1116
4. 816
5. 716

Answer 1

Correct Answer - Option 2 : 1016

Given:

1, 10, 24, 63, 227, ?

Calculation:

Considering the above series, the logic can be explained as follows

10 - 1 = 9

24 - 10 = 14

63 - 24 = 39

227 - 63 = 164

? - 227 = let's say x

Taking the double differences

14 - 9 = 5

39 - 14 = 25

164 - 39 = 125

By observing the pattern of double difference we can say

x - 164 = 625

⇒ x = 789

So, ? - 227 = 789

⇒ ? = 1016

In Short:

1     10     24       63           227    ? = 1016

    9      14      39      164            789

        5       25       125       625

∴ The value of ? will be 1016.