6, 19, 56, 169, 508, 1519

Options

A. 19
B. 169
C. 508
D. 1519

Explanation

To determine which number is wrong in the series: 6, 19, 56, 169, 508, 1519, we will analyze the pattern in the series step by step.

### Step 1: Identify the Pattern
We will look for a consistent pattern in how the numbers are generated.

- Start with the first number: **6**.
- Multiply by **3** and then add **1**:
\[ 6 \times 3 + 1 = 18 + 1 = 19 \]
- The second number is **19**, which matches.

### Step 2: Continue the Pattern
Next, we apply the same logic to the next number:

- For **19**:
\[ 19 \times 3 - 1 = 57 - 1 = 56 \]
- The third number is **56**, which matches.

### Step 3: Proceed to the Next Number
Now, let's find the next number in the series after **56**:

- For **56**:
\[ 56 \times 3 + 1 = 168 + 1 = 169 \]
- The fourth number is **169**, which matches.

### Step 4: Check the Next Number
Now, we will check the next number after **169**:

- For **169**:
\[ 169 \times 3 - 1 = 507 - 1 = 506 \]
- The expected number is **506**, but the series has **508**.

### Step 5: Check the Last Number
Now, let's check the last number in the series:

- For **506**:
\[ 506 \times 3 + 1 = 1518 + 1 = 1519 \]
- The last number is **1519**, which matches.

### Conclusion
From our calculations, we found that instead of **508**, the correct number should be **506**. Therefore, the wrong number in the series is:

**Answer: Option C - 508**

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