Explanation:

- Let's analyze the series: 17, 20, 30, 45, 71, 106, ?

- Observe the pattern:

- 20 - 17 = 3

- 30 - 20 = 10

- 45 - 30 = 15

- 71 - 45 = 26

- 106 - 71 = 35

- Look for the increment pattern:

- 3, 10, 15, 26, 35

- Identify the pattern in differences: It alternates between adding 7 and adding a succeeding consecutive sequence.

- Applying the sequence: 35 + (5 + 7) = 47

- Add 47 to the last number: 106 + 47 = 153

- So, the number that fits is 153.

The correct answer is none from the options given, option should be 153, not listed.