What will come in place of question mark (?) in the following series questions?
2,4,12,48,?,1440

Options

A. A)240
B. B)216
C. C)192
D. D)288

Answer

To find the missing term in the series 2, 4, 12, 48, ?, 1440, we can analyze the pattern of multiplication between the terms.

### Step-by-Step Solution:

1. **Identify the Terms:**
The series is: 2, 4, 12, 48, ?, 1440.

2. **Find the Pattern:**
Let's look at the relationship between consecutive terms:
- From 2 to 4:
\[ 2 \times 2 = 4 \]
- From 4 to 12:
\[ 4 \times 3 = 12 \]
- From 12 to 48:
\[ 12 \times 4 = 48 \]

3. **Continue the Pattern:**
We can see that the multiplier is increasing by 1 each time (2, 3, 4). Therefore, the next multiplier should be 5:
- From 48 to the missing term (let's call it K):
\[ 48 \times 5 = K \]

4. **Calculate K:**
Now, we calculate K:
\[ K = 48 \times 5 = 240 \]

5. **Verify the Next Term:**
Now, let's verify the last term (1440) using K:
- From K to 1440:
\[ 240 \times 6 = 1440 \]

6. **Conclusion:**
Therefore, the missing term in the series is:
\[ K = 240 \]

### Final Answer:
The missing term is **240**.