In each of the following questions one number is missing to understand the pattern of the series and then insert the missing number .
4,7,11,18,29,47,.....,123, 199

Options

A. 76
B. 75
C. 74
D. 73

Answer

To find the missing number in the series 4, 7, 11, 18, 29, 47, ..., 123, 199, we will analyze the pattern in the series step by step.

### Step 1: Identify the pattern
Let's look at the series:
- The first number is 4.
- The second number is 7.
- The third number is 11.
- The fourth number is 18.
- The fifth number is 29.
- The sixth number is 47.
- The seventh number is missing (let's call it X).
- The eighth number is 123.
- The ninth number is 199.

### Step 2: Calculate the differences
Now, let's calculate how each number relates to the previous two numbers:
- 4 + 7 = 11
- 7 + 11 = 18
- 11 + 18 = 29
- 18 + 29 = 47

From this, we can see that each number (starting from the third number) is the sum of the two preceding numbers.

### Step 3: Find the missing number
Now, we need to find the missing number (X):
- The number before X is 47 and the number before that is 29.
- Therefore, X = 29 + 47 = 76.

### Step 4: Verify the pattern
Now let's verify the pattern continues:
- After X (which we found to be 76), we check the next number:
- 47 + 76 = 123 (which is correct).
- 76 + 123 = 199 (which is also correct).

### Conclusion
Thus, the missing number in the series is **76**.