What is the next term in the given series ?
3 , 2 , 9 , 8 , 15 , 14 , _______

Options

A. 20
B. 13
C. 21
D. 19

Answer

To find the next term in the series 3, 2, 9, 8, 15, 14, we can identify the pattern in the sequence:

1. **Identify the pattern:**
- The series alternates between subtracting 1 and adding 7.
- The first term is 3, the second term is 2 (3 - 1).
- The third term is 9 (2 + 7).
- The fourth term is 8 (9 - 1).
- The fifth term is 15 (8 + 7).
- The sixth term is 14 (15 - 1).

2. **Continue the pattern:**
- Following the established pattern, the next operation after 14 (the sixth term) should be adding 7.
- Therefore, we calculate:
\[ 14 + 7 = 21 \]

3. **Conclusion:**
- The next term in the series is 21.

**Final Answer:** The next term is **21**.