Find the value of (?) in the series `3, 4, 6, 8, 12, ?, 24`

Options

A. 13
B. 14
C. 15
D. 16

Answer

To find the value of (?) in the series `3, 4, 6, 8, 12, ?, 24`, we can analyze the pattern of the numbers.

### Step-by-Step Solution:

1. **Identify the Series**: The series given is `3, 4, 6, 8, 12, ?, 24`.

2. **Separate the Terms**: We can observe that the series can be divided into two alternating sequences:
- First sequence (odd positions): `3, 6, 12, 24`
- Second sequence (even positions): `4, 8, ?`

3. **Analyze the First Sequence**:
- The first sequence is `3, 6, 12, 24`.
- We can see that each term is multiplied by 2 to get the next term:
- \(3 \times 2 = 6\)
- \(6 \times 2 = 12\)
- \(12 \times 2 = 24\)

4. **Analyze the Second Sequence**:
- The second sequence is `4, 8, ?`.
- Similarly, we can see that each term is also multiplied by 2:
- \(4 \times 2 = 8\)
- Therefore, to find the next term after 8, we multiply by 2:
- \(8 \times 2 = 16\)

5. **Conclusion**: The value of (?) in the series is 16.

Thus, the complete series is `3, 4, 6, 8, 12, 16, 24`.

### Final Answer:
The value of (?) is **16**.