Which one of the following numbers belong to the given series `18,26, 34,42, 50 ? `

Options

A. 68
B. 58
C. 74
D. 132

Answer

To determine which number belongs to the series `18, 26, 34, 42, 50`, we will first analyze the pattern in the series by calculating the differences between consecutive terms.

### Step-by-Step Solution:

1. **Identify the Series**: The given series is `18, 26, 34, 42, 50`.

2. **Calculate the Differences**:
- Difference between 26 and 18:
\[ 26 - 18 = 8 \]
- Difference between 34 and 26:
\[ 34 - 26 = 8 \]
- Difference between 42 and 34:
\[ 42 - 34 = 8 \]
- Difference between 50 and 42:
\[ 50 - 42 = 8 \]

3. **Observe the Pattern**: The difference between each consecutive term is consistently `8`.

4. **Find the Next Term**: To find the next term after `50`, we add `8` to `50`:
\[ 50 + 8 = 58 \]

5. **Conclusion**: The next term in the series is `58`. Therefore, the number that belongs to the series is `58`.

### Final Answer:
The number that belongs to the series is **58**.