complete the series
10, 12, 16, 24, 40, ….

Options

A. 60
B. 56
C. 70
D. 72

Explanation

To complete the series 10, 12, 16, 24, 40, we will analyze the differences between the consecutive terms and identify a pattern.

### Step-by-Step Solution:

1. **Identify the series**: The given series is 10, 12, 16, 24, 40.

2. **Calculate the differences between consecutive terms**:
- Difference between 12 and 10:
\[ 12 - 10 = 2 \]
- Difference between 16 and 12:
\[ 16 - 12 = 4 \]
- Difference between 24 and 16:
\[ 24 - 16 = 8 \]
- Difference between 40 and 24:
\[ 40 - 24 = 16 \]

So, the differences are: 2, 4, 8, 16.

3. **Observe the pattern in the differences**:
- The differences are: 2, 4, 8, 16.
- We can see that each difference is double the previous one:
- \(4 = 2 \times 2\)
- \(8 = 4 \times 2\)
- \(16 = 8 \times 2\)

4. **Predict the next difference**:
- Following the pattern, the next difference will be:
\[ 16 \times 2 = 32 \]

5. **Calculate the next term in the series**:
- Add the next difference to the last term in the series:
\[ 40 + 32 = 72 \]

6. **Conclusion**:
- The next term in the series is 72.

### Final Answer:
The completed series is 10, 12, 16, 24, 40, **72**.