find the missing number in the following series
98, 72, 14, ….

Options

A. 9
B. 8
C. 6
D. 4

Explanation

To find the missing number in the series 98, 72, 14, we can analyze the pattern of the numbers given.

### Step-by-Step Solution:

1. **Identify the Pattern**:
- The series starts with 98, then goes to 72, and then to 14.
- We need to determine how these numbers are related.

2. **Calculate the Differences**:
- First, let's find the difference between the first two numbers:
\[ 98 - 72 = 26 \]
- Next, calculate the difference between the second and third numbers:
\[ 72 - 14 = 58 \]

3. **Observe the Pattern in Differences**:
- The difference between the first two numbers is 26.
- The difference between the second and third numbers is 58.
- Notice that the differences themselves are increasing.

4. **Check for Multiplication**:
- The video mentions multiplying the numbers.
- Let's analyze the numbers:
- From 98 to 72, we can see that \( 98 \times 0.73 \approx 72 \).
- From 72 to 14, we can see that \( 72 \times 0.19 \approx 14 \).
- However, these multipliers do not seem to form a clear pattern.

5. **Finding the Next Number**:
- Instead of focusing solely on differences, let's consider the possibility of a multiplication pattern:
- The first number (98) is reduced to the second number (72) by multiplying by a fraction (approximately 0.73).
- The second number (72) is reduced to the third number (14) by multiplying by a fraction (approximately 0.19).
- If we continue this pattern, we need to find the next multiplier.

6. **Estimate the Next Number**:
- If we assume the pattern continues to decrease significantly, we can guess that the next number will be significantly lower than 14.
- Let's try a simple approach:
- If we multiply 14 by a small fraction (let's say 0.1), we get:
\[ 14 \times 0.1 = 1.4 \]

7. **Conclusion**:
- Therefore, the missing number in the series is likely **1.4**.