10000 2000 400 80 16 3.2 ?

Options

A. 0.38
B. 0.45
C. 0.64
D. 0.54

Explanation

To solve the series: 10000, 2000, 400, 80, 16, 3.2, ?, we need to identify the pattern in the sequence.

### Step-by-Step Solution:

1. **Identify the Series**:
The series given is 10000, 2000, 400, 80, 16, 3.2.

2. **Observe the Pattern**:
We can see that the numbers are decreasing significantly. This suggests that each number is being divided by a certain value.

3. **Calculate the Division**:
- **From 10000 to 2000**:
\[ \frac{10000}{2000} = 5 \]
- **From 2000 to 400**:
\[ \frac{2000}{400} = 5 \]
- **From 400 to 80**:
\[ \frac{400}{80} = 5 \]
- **From 80 to 16**:
\[ \frac{80}{16} = 5 \]
- **From 16 to 3.2**:
\[ \frac{16}{3.2} = 5 \]

4. **Establish the Pattern**:
Each number in the series is obtained by dividing the previous number by 5.

5. **Find the Next Number**:
To find the next number after 3.2, we will divide 3.2 by 5:
\[ \frac{3.2}{5} = 0.64 \]

6. **Conclusion**:
The next number in the series is **0.64**.

### Final Answer:
The missing number in the series is **0.64**.

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