Which is the number that should come next in the following series ? 2,4,6,12,14,28,30, ___________

Options

A. 62
B. 60
C. 32
D. 64

Answer

To find the next number in the series 2, 4, 6, 12, 14, 28, 30, we can analyze the pattern in the sequence.

### Step-by-Step Solution:

1. **Identify the Pattern:**
- The series alternates between addition and multiplication.
- The first number is 2.

2. **First Operation:**
- From 2 to 4:
- \(2 + 2 = 4\)

3. **Second Operation:**
- From 4 to 6:
- \(4 + 2 = 6\)

4. **Third Operation:**
- From 6 to 12:
- \(6 \times 2 = 12\)

5. **Fourth Operation:**
- From 12 to 14:
- \(12 + 2 = 14\)

6. **Fifth Operation:**
- From 14 to 28:
- \(14 \times 2 = 28\)

7. **Sixth Operation:**
- From 28 to 30:
- \(28 + 2 = 30\)

8. **Seventh Operation:**
- Now, we need to find the next number after 30:
- \(30 \times 2 = 60\)

Thus, the next number in the series is **60**.

### Final Answer:
The number that should come next in the series is **60**.