Explanation:

- To identify the missing number in the sequence, we should look for a pattern or rule.

- The given series is: 3, 10, 24, 52, 108, ?

- Let's examine the differences between consecutive terms:

- Difference between 3 and 10: \(10 - 3 = 7\)

- Difference between 10 and 24: \(24 - 10 = 14\)

- Difference between 24 and 52: \(52 - 24 = 28\)

- Difference between 52 and 108: \(108 - 52 = 56\)

- Notice that each difference is doubling: 7, 14, 28, 56.

- If the pattern continues, the next difference should be \(56 \times 2 = 112\).

- Add this difference to the last number in the series: \(108 + 112 = 220\).

Option 4: 220