3 6 18 72 360 (?)

Options

A. 2160
B. 1800
C. 2520
D. 1440

Explanation

To solve the series: 3, 6, 18, 72, 360, (?), we will look for a pattern in the numbers.

### Step-by-Step Solution:

1. **Identify the Pattern**:
We start by analyzing the relationship between consecutive numbers in the series.

2. **Calculate the Multiplicative Factors**:
- From 3 to 6: \( 3 \times 2 = 6 \)
- From 6 to 18: \( 6 \times 3 = 18 \)
- From 18 to 72: \( 18 \times 4 = 72 \)
- From 72 to 360: \( 72 \times 5 = 360 \)

We can see that each number is multiplied by an increasing integer: 2, 3, 4, and 5.

3. **Determine the Next Multiplicative Factor**:
Following the established pattern, the next number should be multiplied by 6 (the next integer in the sequence).

4. **Calculate the Next Number**:
- From 360 to the next number:
\[ 360 \times 6 = 2160 \]

5. **Conclusion**:
The next number in the series is **2160**.

### Final Answer:
The next number in the series is **2160**.

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