12 12 18 36 90 270 ?

Options

A. 945
B. 810
C. 1080
D. 1215

Explanation

To find the missing number in the series: 12, 12, 18, 36, 90, 270, ?, we can analyze the pattern of multiplication between the terms.

### Step-by-Step Solution:

1. **Identify the first two terms**: The series starts with 12 and 12.
- The operation here is:
\[ 12 \times 1 = 12 \]

2. **Identify the next term**: The next term is 18.
- To find how we got 18 from 12, we can divide 18 by 12:
\[ \frac{18}{12} = 1.5 \]
- Thus, we can say:
\[ 12 \times 1.5 = 18 \]

3. **Identify the next term**: The next term is 36.
- To find how we got 36 from 18, we divide 36 by 18:
\[ \frac{36}{18} = 2 \]
- Thus, we can say:
\[ 18 \times 2 = 36 \]

4. **Identify the next term**: The next term is 90.
- To find how we got 90 from 36, we divide 90 by 36:
\[ \frac{90}{36} = 2.5 \]
- Thus, we can say:
\[ 36 \times 2.5 = 90 \]

5. **Identify the next term**: The next term is 270.
- To find how we got 270 from 90, we divide 270 by 90:
\[ \frac{270}{90} = 3 \]
- Thus, we can say:
\[ 90 \times 3 = 270 \]

6. **Finding the missing term**: Now, we need to find the next term after 270.
- Continuing the pattern, we multiply 270 by 3.5:
\[ 270 \times 3.5 = 945 \]

### Conclusion:
The missing number in the series is **945**.