Explanation:

Let's analyze the pattern step by step:

- The series is: 6, 16, 29, 62, 121, ?

- Find the differences:

16 - 6 = 10

29 - 16 = 13

62 - 29 = 33

121 - 62 = 59

- Let's look for a pattern in these differences:

10, 13, 33, 59

Next, check the difference between these:

13 - 10 = 3

33 - 13 = 20

59 - 33 = 26

- These second-order differences don’t form a simple pattern like squares or cubes.

- Try breaking the series into possible patterns (e.g., quadratic or multiplying):

- Try to observe a pattern directly:

- 6 × 2 + 4 = 16

- 16 × 2 - 3 = 29

- 29 × 2 + 4 = 62

- 62 × 2 - 3 = 121

- The hidden pattern alternates between ×2 + 4 and ×2 - 3.

- Last term: 121 × 2 + 4 = 246

- Looking at the options:

- Option 1: 283 ?

- Option 2: 246

- Option 3: 238 ?

- Option 4: 264 ?

Correct answer: Option 2 - 246