8,7,11,12,14,17,17,22 (…)

Options

A. 27
B. 20
C. 22
D. 24

Answer

To find the next term in the series 8, 7, 11, 12, 14, 17, 17, 22, we can break it down into two separate sequences based on the pattern of the numbers.

### Step-by-Step Solution:

1. **Identify the two sequences:**
- The first sequence is formed by the first, third, fifth, and seventh terms: 8, 11, 14, 17.
- The second sequence is formed by the second, fourth, sixth, and eighth terms: 7, 12, 17, 22.

2. **Analyze the first sequence (8, 11, 14, 17):**
- The differences between the terms are:
- 11 - 8 = 3
- 14 - 11 = 3
- 17 - 14 = 3
- The pattern shows that we are adding 3 each time.

3. **Predict the next term in the first sequence:**
- The next term after 17 would be:
- 17 + 3 = 20

4. **Analyze the second sequence (7, 12, 17, 22):**
- The differences between the terms are:
- 12 - 7 = 5
- 17 - 12 = 5
- 22 - 17 = 5
- The pattern shows that we are adding 5 each time.

5. **Predict the next term in the second sequence:**
- The next term after 22 would be:
- 22 + 5 = 27

6. **Combine the results:**
- The next term in the overall series will be the next term from the first sequence, which is 20.

### Final Answer:
The next term in the series is **20**.