104 109 99 114 94 ?

Options

A. 69
B. 124
C. 120
D. None of these

Explanation

To find the missing number in the series: 104, 109, 99, 114, 94, ?, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Series**: The given series is 104, 109, 99, 114, 94, ?.

2. **Calculate Differences**: We will calculate the differences between consecutive numbers to identify a pattern.
- From 104 to 109:
\[ 109 - 104 = 5 \]
- From 109 to 99:
\[ 99 - 109 = -10 \]
- From 99 to 114:
\[ 114 - 99 = 15 \]
- From 114 to 94:
\[ 94 - 114 = -20 \]

3. **List the Differences**: The differences we calculated are:
- +5, -10, +15, -20

4. **Identify the Pattern**: The pattern in the differences appears to alternate between adding and subtracting:
- The differences are increasing by 5 each time in absolute value:
- +5, -10, +15, -20

5. **Predict the Next Difference**: Following the pattern, the next difference should be +25 (since it continues to increase by 5).

6. **Calculate the Missing Number**: Now, we will add 25 to the last number in the series (94):
\[ 94 + 25 = 119 \]

7. **Conclusion**: The missing number in the series is **119**.

### Final Answer:
The missing number is **119**.