7, 12, 19, 28, 39, ….

Options

A. 49
B. 57
C. 50
D. 52

Explanation

To find the next number in the series: 7, 12, 19, 28, 39, we can analyze the pattern of differences between the consecutive terms.

### Step-by-Step Solution:

1. **Identify the series**: The given series is 7, 12, 19, 28, 39.

2. **Calculate the differences between consecutive terms**:
- 12 - 7 = 5
- 19 - 12 = 7
- 28 - 19 = 9
- 39 - 28 = 11

So, the differences are: 5, 7, 9, 11.

3. **Observe the pattern in the differences**: The differences themselves form a sequence: 5, 7, 9, 11. We can see that these differences are increasing by 2 each time.

4. **Determine the next difference**: Following the pattern, the next difference after 11 would be:
- 11 + 2 = 13.

5. **Add the next difference to the last term of the series**: Now, we will add this difference to the last term in the series (39):
- 39 + 13 = 52.

6. **Conclusion**: Therefore, the next number in the series is **52**.

### Final Answer:
The next number in the series is **52**.

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