12, 77, 389, 1559, 4679, ?

Options

A. 9234
B. 9081
C. 9154
D. 9359

Explanation

To find the missing number in the series: 12, 77, 389, 1559, 4679, ?, we will analyze the pattern in the series step by step.

### Step 1: Identify the pattern
We will start by examining the relationship between consecutive terms in the series.

1. From 12 to 77:
- We can express this as \( 12 \times 6 + 5 = 77 \).

2. From 77 to 389:
- We can express this as \( 77 \times 5 + 4 = 389 \).

3. From 389 to 1559:
- We can express this as \( 389 \times 4 + 3 = 1559 \).

4. From 1559 to 4679:
- We can express this as \( 1559 \times 3 + 2 = 4679 \).

### Step 2: Identify the next term
Now that we have established the pattern, we can find the next term in the series.

- The pattern we see is that we are multiplying by decreasing integers (6, 5, 4, 3) and adding decreasing integers (5, 4, 3, 2).

To find the next term after 4679:
- We will multiply by 2 and add 1:
\[ 4679 \times 2 + 1 \]

### Step 3: Calculate the next term
Now, we will perform the calculation:
\[ 4679 \times 2 = 9358 \]
Adding 1:
\[ 9358 + 1 = 9359 \]

### Conclusion
Thus, the missing number in the series is **9359**.