What will come in the place of question mark (?) in the following series questions?
280,295,325,370,430,?

Options

A. A)515
B. B)525
C. C)505
D. D)490

Answer

To find the missing term in the series 280, 295, 325, 370, 430, ?, we can analyze the differences between consecutive terms.

1. **Identify the series**:
The series is: 280, 295, 325, 370, 430, ?

2. **Calculate the differences between consecutive terms**:
- From 280 to 295:
\( 295 - 280 = 15 \)
- From 295 to 325:
\( 325 - 295 = 30 \)
- From 325 to 370:
\( 370 - 325 = 45 \)
- From 370 to 430:
\( 430 - 370 = 60 \)

So, the differences are: 15, 30, 45, 60.

3. **Identify the pattern in the differences**:
The differences themselves form a sequence:
- 15 (which is \( 15 \times 1 \))
- 30 (which is \( 15 \times 2 \))
- 45 (which is \( 15 \times 3 \))
- 60 (which is \( 15 \times 4 \))

We can see that the differences are increasing by 15 each time.

4. **Predict the next difference**:
Following the pattern, the next difference should be:
- \( 15 \times 5 = 75 \)

5. **Calculate the next term**:
Now, we add this next difference to the last known term in the series:
- \( 430 + 75 = 505 \)

6. **Conclusion**:
Therefore, the missing term in the series is **505**.