find the next term in the series
4, 6, 12, 14, 28, 30, ….

Options

A. 32
B. 60
C. 58
D. 56

Explanation

To find the next term in the series 4, 6, 12, 14, 28, 30, we can analyze the pattern of the series step by step.

### Step-by-Step Solution:

1. **Identify the Series**: The given series is 4, 6, 12, 14, 28, 30.

2. **Examine the Pattern**:
- Start with the first two terms:
- From 4 to 6, we add 2:
\[ 4 + 2 = 6 \]
- Next, from 6 to 12, we multiply by 2:
\[ 6 \times 2 = 12 \]
- From 12 to 14, we add 2:
\[ 12 + 2 = 14 \]
- From 14 to 28, we multiply by 2:
\[ 14 \times 2 = 28 \]
- From 28 to 30, we add 2:
\[ 28 + 2 = 30 \]

3. **Recognize the Alternating Pattern**:
- The pattern alternates between adding 2 and multiplying by 2:
- Add 2, multiply by 2, add 2, multiply by 2, add 2.

4. **Determine the Next Operation**:
- Following the established pattern, after adding 2 to get 30, the next operation should be to multiply by 2.

5. **Calculate the Next Term**:
- Multiply 30 by 2:
\[ 30 \times 2 = 60 \]

6. **Conclusion**:
- The next term in the series is **60**.

### Final Answer:
The next term in the series is **60**.