8, 31, 122, 485, 1936, 7739, ?

Options

A. 30460
B. 30720
C. 30840
D. 30950

Explanation

To find the next term in the series: 8, 31, 122, 485, 1936, 7739, ?, we can analyze the pattern in the series.

### Step-by-Step Solution:

1. **Identify the Pattern**:
- The first term is 8.
- The second term is obtained by multiplying the first term by 4 and then subtracting 1:
\[ 8 \times 4 - 1 = 32 - 1 = 31 \]

2. **Continue the Pattern**:
- The second term (31) is then used to find the third term:
\[ 31 \times 4 - 2 = 124 - 2 = 122 \]

3. **Calculate the Fourth Term**:
- The third term (122) gives us the fourth term:
\[ 122 \times 4 - 3 = 488 - 3 = 485 \]

4. **Calculate the Fifth Term**:
- The fourth term (485) leads to the fifth term:
\[ 485 \times 4 - 4 = 1940 - 4 = 1936 \]

5. **Calculate the Sixth Term**:
- The fifth term (1936) is used to find the sixth term:
\[ 1936 \times 4 - 5 = 7744 - 5 = 7739 \]

6. **Calculate the Next Term**:
- Now, we use the sixth term (7739) to find the next term in the series:
\[ 7739 \times 4 - 6 = 30956 - 6 = 30950 \]

### Conclusion:
The next term in the series is **30950**.