13 14 30 93 376 1885 ?

Options

A. 10818
B. 10316
C. 11316
D. 11318

Explanation

To find the missing number in the series: 13, 14, 30, 93, 376, 1885, ?, we can observe a pattern based on multiplication and addition. Let's break it down step by step.

### Step-by-Step Solution:

1. **Identify the Pattern**:
- The series seems to be increasing rapidly, suggesting a multiplication operation followed by an addition.

2. **Calculate the First Transition (13 to 14)**:
- From 13 to 14:
\[ 13 \times 1 + 1 = 14 \]

3. **Calculate the Second Transition (14 to 30)**:
- From 14 to 30:
\[ 14 \times 2 + 2 = 30 \]

4. **Calculate the Third Transition (30 to 93)**:
- From 30 to 93:
\[ 30 \times 3 + 3 = 93 \]

5. **Calculate the Fourth Transition (93 to 376)**:
- From 93 to 376:
\[ 93 \times 4 + 4 = 376 \]

6. **Calculate the Fifth Transition (376 to 1885)**:
- From 376 to 1885:
\[ 376 \times 5 + 5 = 1885 \]

7. **Calculate the Missing Number (1885 to ?)**
- Now, we apply the same pattern to find the next number:
\[ 1885 \times 6 + 6 \]
- First, calculate \(1885 \times 6\):
\[ 1885 \times 6 = 11310 \]
- Now, add 6:
\[ 11310 + 6 = 11316 \]

### Conclusion:
The missing number in the series is **11316**.

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