What would be the next numbers In the following series ?
`2,3,6,9,36,41,246 ,? `

Options

A. 253
B. 1722
C. 255
D. 1750

Answer

To find the next number in the series `2, 3, 6, 9, 36, 41, 246`, let's analyze the pattern step by step.

### Step 1: Identify the Pattern
We start by examining how each number relates to the previous one.

1. **From 2 to 3**:
- \(2 + 1 = 3\)

2. **From 3 to 6**:
- \(3 \times 2 = 6\)

3. **From 6 to 9**:
- \(6 + 3 = 9\)

4. **From 9 to 36**:
- \(9 \times 4 = 36\)

5. **From 36 to 41**:
- \(36 + 5 = 41\)

6. **From 41 to 246**:
- \(41 \times 6 = 246\)

### Step 2: Continuing the Pattern
Now we can see a clear pattern of alternating addition and multiplication:
- Add 1, multiply by 2, add 3, multiply by 4, add 5, multiply by 6.

Following this pattern, the next operation should be:
- Add 7 to the last number (246).

### Step 3: Calculate the Next Number
Now we perform the addition:
- \(246 + 7 = 253\)

### Conclusion
Thus, the next number in the series is **253**.

---