13, 14, 29, 88, 355, 1766, 10597

Options

A. 29
B. 1766
C. 355
D. 14

Explanation

To identify the incorrect number in the series 13, 14, 29, 88, 355, 1766, and 10597, we will analyze the pattern of the series step by step.

### Step 1: Identify the pattern
The series appears to be generated by multiplying the previous number by an increasing integer and then adding 1.

### Step 2: Analyze the first two numbers
- Start with 13.
- The next number is 14.
- We can express this as:
\[ 13 \times 1 + 1 = 14 \]

### Step 3: Analyze the next number
- The next number is 29.
- We can express this as:
\[ 14 \times 2 + 1 = 28 + 1 = 29 \]

### Step 4: Analyze the next number
- The next number is 88.
- We can express this as:
\[ 29 \times 3 + 1 = 87 + 1 = 88 \]

### Step 5: Analyze the next number
- The next number is 355.
- We can express this as:
\[ 88 \times 4 + 1 = 352 + 1 = 353 \]
- Here we notice that the expected result should be 353, but we have 355. This indicates that 355 does not fit the pattern.

### Step 6: Analyze the next number
- The next number is 1766.
- We can express this as:
\[ 353 \times 5 + 1 = 1765 + 1 = 1766 \]
- This satisfies the pattern.

### Step 7: Analyze the last number
- The last number is 10597.
- We can express this as:
\[ 1766 \times 6 + 1 = 10596 + 1 = 10597 \]
- This also satisfies the pattern.

### Conclusion
The incorrect number in the series is **355**. The correct number that should replace it is **353**.