what should come in place of question mark 3 4.5 9 22.5 67.5 ? 945

Options

A. 265.25
B. 236.25
C. 56
D. 66

Answer

To solve the problem step by step, we need to identify the pattern in the given series of numbers: 3, 4.5, 9, 22.5, 67.5, ?, 945.

### Step-by-Step Solution:

1. **Identify the first number and the multiplication factor**:
- Start with the first number: **3**.
- Multiply it by **1.5**:
\[ 3 \times 1.5 = 4.5 \]

2. **Identify the second number and the next multiplication factor**:
- Take the second number: **4.5**.
- Multiply it by **2**:
\[ 4.5 \times 2 = 9 \]

3. **Identify the third number and the next multiplication factor**:
- Take the third number: **9**.
- Multiply it by **2.5**:
\[ 9 \times 2.5 = 22.5 \]

4. **Identify the fourth number and the next multiplication factor**:
- Take the fourth number: **22.5**.
- Multiply it by **3**:
\[ 22.5 \times 3 = 67.5 \]

5. **Identify the fifth number and the next multiplication factor**:
- Take the fifth number: **67.5**.
- Multiply it by **3.5**:
\[ 67.5 \times 3.5 = 236.25 \]

6. **Identify the sixth number and the next multiplication factor**:
- Now, we need to find the next number (the question mark) by multiplying **236.25** by **4**:
\[ 236.25 \times 4 = 945 \]

### Conclusion:
The number that should come in place of the question mark is **236.25**.