11,13,17,19,23,29,31,37,41….

Options

A. 43
B. 47
C. 53
D. 51

Answer

To find the next term in the series 11, 13, 17, 19, 23, 29, 31, 37, 41, we can follow these steps:

### Step 1: Identify the Pattern
First, we need to observe the numbers in the series. All the numbers listed are odd numbers.

**Hint:** Look for a common property among the numbers.

### Step 2: Check for Prime Numbers
Next, we can check whether these numbers are prime. A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. The numbers in the series are:
- 11 (prime)
- 13 (prime)
- 17 (prime)
- 19 (prime)
- 23 (prime)
- 29 (prime)
- 31 (prime)
- 37 (prime)
- 41 (prime)

**Hint:** Recall the definition of prime numbers and check each number.

### Step 3: Find the Next Prime Number
Now, we need to find the next prime number after 41. The next number after 41 is 42, which is not prime (it is even). The next number is 43, which is prime.

**Hint:** After identifying the last number in the series, incrementally check each subsequent number to see if it is prime.

### Step 4: Conclusion
Thus, the next term in the series is 43.

**Final Answer:** The next term is 43.

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