What should come is place of the question mark (?) in the following number series ?
`9" "62" "?" "1854" "7415" "22244`

Options

A. 433
B. 309
C. 406
D. 371

Answer

To solve the number series problem, we need to identify the pattern in the sequence: `9, 62, ?, 1854, 7415, 22244`.

### Step-by-Step Solution:

1. **Identify the first relationship:**
- The first number is 9, and the second number is 62.
- We can observe that \( 9 \times 7 - 1 = 62 \).
- This suggests that we multiply by 7 and then subtract 1.

**Hint:** Look for a multiplication and subtraction pattern between the numbers.

2. **Calculate the next number:**
- Now, we apply the same logic to find the missing number (let's call it X).
- We take 62 and multiply it by 6, then subtract 1.
- Calculation: \( 62 \times 6 = 372 \) and \( 372 - 1 = 371 \).
- So, the missing number X is 371.

**Hint:** Continue the pattern by decreasing the multiplier by 1 each time.

3. **Verify the next number in the series:**
- Now we need to check if 371 leads us correctly to the next number, which is 1854.
- We multiply 371 by 5 and then subtract 1.
- Calculation: \( 371 \times 5 = 1855 \) and \( 1855 - 1 = 1854 \).
- This confirms our pattern is consistent.

**Hint:** Always verify your calculated number with the next number in the series.

4. **Final confirmation:**
- The pattern we have identified is:
- Multiply by 7, subtract 1 (from 9 to 62)
- Multiply by 6, subtract 1 (from 62 to 371)
- Multiply by 5, subtract 1 (from 371 to 1854)
- Continuing this pattern, we can see that the multipliers decrease by 1 each time.

### Conclusion:
The missing number in the series is **371**.