11, 13, 17, 19, 23, 29, 31, 37, 41, ...

Options

A. 42
B. 43
C. 44
D. 45

Answer

To find the next number in the sequence: 11, 13, 17, 19, 23, 29, 31, 37, 41, we need to identify the pattern in the sequence.

### Step-by-Step Solution:

1. **Identify the Sequence**: The given numbers are 11, 13, 17, 19, 23, 29, 31, 37, 41.

2. **Check for Prime Numbers**: We need to determine if these numbers are prime. A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, a prime number has no positive divisors other than 1 and itself.

3. **List the Numbers**:
- 11: Prime (divisors: 1, 11)
- 13: Prime (divisors: 1, 13)
- 17: Prime (divisors: 1, 17)
- 19: Prime (divisors: 1, 19)
- 23: Prime (divisors: 1, 23)
- 29: Prime (divisors: 1, 29)
- 31: Prime (divisors: 1, 31)
- 37: Prime (divisors: 1, 37)
- 41: Prime (divisors: 1, 41)

4. **Find the Next Prime Number**: The next number we need to check after 41 is 42 and then 43.
- 42: Not prime (divisible by 1, 2, 3, 6, 7, 14, 21, 42)
- 43: Prime (divisors: 1, 43)

5. **Conclusion**: Since 43 is the next prime number after 41, the next number in the sequence is **43**.

### Final Answer:
The next number in the sequence is **43**.