Find the next number in the series:

11, 20, 38, 74, ?

Question

Find the next number in the series:

11, 20, 38, 74, ?

Accepted Answer

**Solution:**

1. Observe the differences between consecutive terms:
   - $20 - 11 = 9$
   - $38 - 20 = 18$
   - $74 - 38 = 36$

2. The differences are increasing by a factor of 2 each time:
   - $9, 18, 36, \dots$

3. Next difference should be $36 	imes 2 = 72$

4. Add this difference to the last term:
   $$74 + 72 = 146$$

**Answer:** $146$

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