The successor of a number is related to the predecessor in some way. The missing numbers in the given pattern is 2, 5, 7, 12, 19, 31, __, __

Correct option is D

Given:

Number pattern:

2, 5, 7, 12, 19, 31, __, __

Formula Used:

Each term = previous term + its predecessor

​$$a_n = a_{n-1} + a_{n-2}$$​​

Solution:

The differences:

5 - 2 = 3 , 7 - 5 = 2 , 12 - 7 = 5 , 19 - 12 = 7 , 31 - 19 = 12

 Differences form the earlier terms of the sequence.

So,

Next difference = 19

31 + 19 = 50

Next difference = 31

50 + 31 = 81

Thus, Missing numbers are 50 and 81