What number will replace the question mark (?) in the following series?

11, 20, 38, 74, ?

Question

What number will replace the question mark (?) in the following series?

11, 20, 38, 74, ?

Accepted Answer

**Solution:**

1. Observe the series: 11, 20, 38, 74, ?

2. Calculate the differences between consecutive terms:
   - 20 - 11 = 9
   - 38 - 20 = 18
   - 74 - 38 = 36

3. Notice the pattern in the differences: 9, 18, 36
   - Each difference is double the previous one (9 × 2 = 18, 18 × 2 = 36)

4. Following this pattern, the next difference should be:
   - 36 × 2 = 72

5. Add this difference to the last term:
   - 74 + 72 = 146

**Answer:** 146

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