Find the missing number in the series given as:
4, 7, 11, 19, 32, 54, ?, 149, 245

Correct option is B

The series given is:
4, 7, 11, 19, 32, 54, ?, 149, 245
We need to identify the pattern and find the missing number.
Step 1: Calculate the differences between consecutive terms

Step 2: Identify the pattern in the differences The differences between consecutive terms are:
3, 4, 8, 13, 22, ?, 96
Now, let's look at the differences between these differences:

Step 3: Identify the next second-level difference Following the pattern of second-level differences: 1, 4, 5, 9, the next number should be:
1 + 4 = 5, 4 + 5 = 9, 5 + 9 = 14
So, the next second-level difference is 14.
Step 4: Calculate the next first-level difference Adding 14 to the previous first-level difference 22:

Verify the series The updated series now becomes:
4, 7, 11, 19, 32, 54, 90, 149, 245
Final Answer The missing number is:
(b) 90