14 6 4 4 8 ?

Options

A. 26
B. 32
C. 46
D. 27

Explanation

To solve the sequence 14, 6, 4, 4, 8, we will look for a pattern in the terms provided.

### Step-by-step Solution:

1. **Identify the Terms**: The given sequence is 14, 6, 4, 4, 8.

2. **Look for Patterns**:
- The first term (14) is followed by the second term (6).
- The difference between the first and second terms is \( 14 - 6 = 8 \).
- The second term (6) is followed by the third term (4).
- The difference between the second and third terms is \( 6 - 4 = 2 \).
- The third term (4) is followed by the fourth term (4).
- The difference between the third and fourth terms is \( 4 - 4 = 0 \).
- The fourth term (4) is followed by the fifth term (8).
- The difference between the fourth and fifth terms is \( 8 - 4 = 4 \).

3. **List the Differences**:
- The differences we calculated are:
- \( 14 - 6 = 8 \)
- \( 6 - 4 = 2 \)
- \( 4 - 4 = 0 \)
- \( 8 - 4 = 4 \)

4. **Analyze the Differences**:
- The differences are 8, 2, 0, and 4.
- There does not seem to be a consistent pattern in the differences.

5. **Look for Multiplicative Patterns**:
- The first term (14) seems to be reduced to the second term (6) by some operation.
- If we consider multiplying by fractions or specific numbers:
- \( 14 \times \frac{3}{7} = 6 \)
- \( 6 \times \frac{2}{3} = 4 \)
- \( 4 \times 1 = 4 \)
- \( 4 \times 2 = 8 \)

6. **Predict the Next Term**:
- If we follow the multiplication pattern:
- The next term after 8 could be calculated by multiplying by a number. If we continue the pattern of multiplying by increasing integers (2, 3, 4, ...), we can multiply 8 by 4.
- \( 8 \times 4 = 32 \)

7. **Conclusion**:
- Therefore, the next term in the sequence is **32**.