9, 19, 37, 75, 149, 299, ….

Options

A. 598
B. 597
C. 599
D. 697

Explanation

To solve the series: 9, 19, 37, 75, 149, 299, …, we need to identify the pattern in the sequence.

### Step-by-Step Solution:

1. **Identify the first term**: The first term is 9.

2. **Calculate the second term**:
- We double the first term: \( 9 \times 2 = 18 \)
- Then we add 1: \( 18 + 1 = 19 \)
- So, the second term is 19.

3. **Calculate the third term**:
- We double the second term: \( 19 \times 2 = 38 \)
- Then we subtract 1: \( 38 - 1 = 37 \)
- So, the third term is 37.

4. **Calculate the fourth term**:
- We double the third term: \( 37 \times 2 = 74 \)
- Then we add 1: \( 74 + 1 = 75 \)
- So, the fourth term is 75.

5. **Calculate the fifth term**:
- We double the fourth term: \( 75 \times 2 = 150 \)
- Then we subtract 1: \( 150 - 1 = 149 \)
- So, the fifth term is 149.

6. **Calculate the sixth term**:
- We double the fifth term: \( 149 \times 2 = 298 \)
- Then we add 1: \( 298 + 1 = 299 \)
- So, the sixth term is 299.

7. **Calculate the seventh term**:
- We double the sixth term: \( 299 \times 2 = 598 \)
- Then we subtract 1: \( 598 - 1 = 597 \)
- So, the seventh term is 597.

### Conclusion:
The next number in the series is **597**.