What will come in place of the question mark (?) in the following number series?
`14" "12" "21" "59" "231" "1149" "?`

Options

A. A)6987
B. B)6787
C. C)6887
D. D)6687

Answer

To find the missing term in the series `14, 12, 21, 59, 231, 1149, ?`, we will analyze the pattern in the series step by step.

### Step 1: Identify the Pattern
We will look for a pattern in the series by examining how each term relates to the previous one.

1. **First Term (14)**:
- The second term (12) can be derived from the first term by multiplying by 1 and then subtracting 2.
- Calculation: \( 14 \times 1 - 2 = 12 \)

2. **Second Term (12)**:
- The third term (21) can be derived from the second term by multiplying by 1 and then subtracting 3.
- Calculation: \( 12 \times 1 + 9 = 21 \)

3. **Third Term (21)**:
- The fourth term (59) can be derived from the third term by multiplying by 3 and then subtracting 4.
- Calculation: \( 21 \times 3 - 4 = 59 \)

4. **Fourth Term (59)**:
- The fifth term (231) can be derived from the fourth term by multiplying by 4 and then subtracting 5.
- Calculation: \( 59 \times 4 - 5 = 231 \)

5. **Fifth Term (231)**:
- The sixth term (1149) can be derived from the fifth term by multiplying by 5 and then subtracting 6.
- Calculation: \( 231 \times 5 - 6 = 1149 \)

### Step 2: Find the Missing Term
Now, we will find the seventh term using the sixth term (1149).

- **Sixth Term (1149)**:
- We will multiply by 6 and then subtract 7.
- Calculation: \( 1149 \times 6 - 7 \)

Calculating this step:
1. \( 1149 \times 6 = 6894 \)
2. \( 6894 - 7 = 6887 \)

### Conclusion
The missing term in the series is **6887**.