Explanation:

- Let's analyze the pattern in the series: 35, 50, 80, 125, 185, ?

- Find the differences between consecutive terms:

- 50 - 35 = 15

- 80 - 50 = 30

- 125 - 80 = 45

- 185 - 125 = 60

- The differences are increasing by 15 each time (15, 30, 45, 60).

- The difference for the next term should be 60 + 15 = 75.

- Add 75 to the last number in the series: 185 + 75 = 260.

- Option 4: 260 is the correct answer.