4,6,8,10,12,14,16,18,……are

Options

A. even numbers
B. odd numbers
C. prime numbers
D. none of the above

Answer

To determine the nature of the series given (4, 6, 8, 10, 12, 14, 16, 18), we will analyze the numbers step by step.

### Step-by-Step Solution:

1. **Identify the Numbers in the Series**:
The series provided is: 4, 6, 8, 10, 12, 14, 16, 18.

2. **Check Each Number for Evenness**:
- A number is considered even if it can be divided by 2 without leaving a remainder.
- Let's check each number:
- **4**: 4 ÷ 2 = 2 (no remainder, so 4 is even)
- **6**: 6 ÷ 2 = 3 (no remainder, so 6 is even)
- **8**: 8 ÷ 2 = 4 (no remainder, so 8 is even)
- **10**: 10 ÷ 2 = 5 (no remainder, so 10 is even)
- **12**: 12 ÷ 2 = 6 (no remainder, so 12 is even)
- **14**: 14 ÷ 2 = 7 (no remainder, so 14 is even)
- **16**: 16 ÷ 2 = 8 (no remainder, so 16 is even)
- **18**: 18 ÷ 2 = 9 (no remainder, so 18 is even)

3. **Conclusion**:
Since all the numbers in the series can be divided by 2 without leaving a remainder, we conclude that the series consists entirely of even numbers.

4. **Select the Correct Option**:
Given the options:
- 1st option: Even number
- 2nd option: Odd number
- 3rd option: Prime number
- 4th option: None of these

The correct answer is the 1st option: Even number.

### Final Answer:
The series 4, 6, 8, 10, 12, 14, 16, 18 consists of even numbers.

---